{"id":28258,"date":"2018-06-26T11:33:10","date_gmt":"2018-06-26T11:33:10","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=28258"},"modified":"2018-06-27T07:30:07","modified_gmt":"2018-06-27T07:30:07","slug":"mastering-physics-solutions-chapter-30-quantum-physics","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/mastering-physics-solutions-chapter-30-quantum-physics\/","title":{"rendered":"Mastering Physics Solutions Chapter 30 Quantum Physics"},"content":{"rendered":"<h2><span style=\"color: #00ccff;\">Mastering Physics Solutions Chapter 30 Quantum Physics<\/span><\/h2>\n<p><a class=\"button-red\" title=\"physics james walker 4th edition pdf free download\" href=\"https:\/\/cbselibrary.com\/mastering-physics-solutions-4th-edition\/\">Mastering Physics Solutions<\/a><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.1CQ<\/strong><br \/>\nGive a brief description of the \u201cultraviolet catastrophe.\u201d<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1824\/42300668424_ca4022b6c8_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics1cqs\" width=\"612\" height=\"177\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.1P<\/strong><br \/>\nCE Predict\/Explain The blackbody spectrum of blackbody A peaks at a longer wavelength than that of blackbody B. (a) Is the temperature of blackbody A higher than or lower than the temperature of blackbody B? (b) Choose the best explanation from among the following:<\/p>\n<ul>\n<li>Blackbody A has the higher temperature because the higher the temperaturethe longer the wavelength.<\/li>\n<li>Blackbody B has the highertemperature because an increase in temperature means an increase in frequency, which corresponds to a decrease in wavelength.<\/li>\n<\/ul>\n<p><span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1791\/42300668594_5b6c358908_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics1ps\" width=\"613\" height=\"405\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.2CQ<\/strong><br \/>\nHow does Planck\u2019s hypothesis of energy quantization resolve the \u201cultraviolet catastrophe\u201d?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1838\/42300668814_51558be048_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics2cqs\" width=\"596\" height=\"350\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.2P<\/strong><br \/>\nThe Surface Temperature of Betelgense Betelgeuse, a red-giant star in the constellation Orion, has a peak in its radiation at a frequency of 1.82 \u00d7 1014 Hz. What is the surface temperature of Betelgeuse?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1788\/29147541658_9a3597948a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics2ps\" width=\"581\" height=\"331\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.3CQ<\/strong><br \/>\nIs there a lowest temperaturebelow which blackbody radiation is no longer given off by an object? Explain.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1837\/28150958027_fce8e1d063_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics3cqs\" width=\"574\" height=\"89\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.3P<\/strong><br \/>\nWhat is the frequency of the most intense radiation emitted by your body? Assume a skin temperature of 95 \u00b0F. What is the wavelength of this radiation?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1816\/28150958187_78ff77c8be_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics3ps\" width=\"493\" height=\"323\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.4CQ<\/strong><br \/>\nHow can an understanding of blackbody radiationallow us to determinethe temperature ofdistant stars?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1798\/28150958497_0023b78a08_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics4cqs\" width=\"602\" height=\"259\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.4P<\/strong><br \/>\nThe Cosmic Background Radiation Outer space is filled with a sea of photons, created in the early moments of the universe. The frequency distribution of this \u201ccosmic background radiation\u201d matches that of a blackbody at a temperature near 2.7 K. (a) What is the peak frequency of this radiation? (b) What is the wavelength that corresponds to the peak frequency?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1823\/28150958787_a3a96a5367_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics4ps\" width=\"583\" height=\"613\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.5CQ<\/strong><br \/>\nDifferent Fading Many vehicles inthe United States have a small American flag decal inone of their windows. If the decal has been in place for a long time, the colors will show some<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1789\/29147542088_c0ab300a3c_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics5cq\" width=\"194\" height=\"170\" \/><br \/>\nDifferential fading, (Conceptual Question 5)<br \/>\nfading from exposure to the Sun. In fact, the red stripes are generally more faded than the blue background for the stars, as shown in the accompanying photo. Photographs and posters react in the same way, with red colors showing the most fading. Explain this effect in terms of the photon model of light.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1826\/29147542278_ac6006b03f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics5cqs\" width=\"566\" height=\"106\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.5P<\/strong><br \/>\nThe Sun has a surface temperature of about 5800 K. At what frequency does the Sun emit the most radiation?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1820\/29147542308_e125436354_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics5ps\" width=\"591\" height=\"220\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.6CQ<\/strong><br \/>\nAsource of light is monochromatic. What can you say about the photons emitted by this source?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1792\/29147542398_e329c9b67b_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics6cqs\" width=\"563\" height=\"62\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.6P<\/strong><br \/>\n(a) By what factor does the peak frequency change if the Kelvin tempera ture of an object is doubled from 20.0 K to 40.0 K? (b) By what factor does the peak frequency change if the Celsius temperature of an object is doubled from 20.0 \u00b0C to 40.0 \u00b0C?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1827\/29147542538_88b0c52b4a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics6ps\" width=\"596\" height=\"632\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1820\/29147542648_91f6c54e45_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics6ps1\" width=\"615\" height=\"594\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1791\/29147542708_30164a637d_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics6ps2\" width=\"603\" height=\"220\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.7CQ<\/strong><br \/>\nThe relative Intensity of radiation, given off by a blackbody is shown in Figure 30\u20132. Notice that curves corresponding to different temperatures never cross one another. If two such curves did intersect, however, it would be possible to violate the second law of thermodynamics. Explain.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1773\/29147542888_1c412c3d2e_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics7cqs\" width=\"582\" height=\"208\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.7P<\/strong><br \/>\nIP A Famous Double Star Albireo in the constellation Cygnus, which appears as a single star to the naked eye, is actually a beautiful double-star system. The brighter of the two stars is referred to as A (or Beta-01 Cygni), with a surface tempera ture of TA = 4700 K; its companion is B (or Beta-02 Cygni), with a surface temperature of TB = 13,000 K. (a) When viewed througha telescope, one star is a brilliant blue color, and the other has a warm golden color, as shown in the accompanying photo. Is the blue star A or B? Explain, (b) What is the ratio of the peak frequencies emitted by the two stars, (fA\/fB)?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1788\/43019538361_7f05e024e9_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics7p\" width=\"406\" height=\"170\" \/><br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1826\/43019538631_6371471719_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics7ps\" width=\"593\" height=\"637\" \/><br \/>\n=0.3615<\/p>\n<p><strong>Chapter 30 Quantum Physics Q.8CQ<\/strong><br \/>\n(a) Is it possible for a photon from a green source of light to have more energy than a photon from a blue source of light? Explain, (b) Is it possible for a photon from a green source oflight to have more energy than a photon from a red source of light? Explain.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1840\/43019538851_6c5e18801e_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics8cqs\" width=\"620\" height=\"256\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.8P<\/strong><br \/>\nIP Halogen Lightbulbs Modern halogen lightbulbs allow their filaments to operate at a highertemperature than the filaments in standard Incandescent bulbs. For comparison, the filament in a standard lightbulb operates at about 2900 K, whereas the filament ina halogen bulb may operate at 3400 K.<br \/>\n(a) Which bulb has the higher peak frequency? (b) Calculate the ratio of peak frequencies (f hal\/f std). (c) The humaneye is most sensitive to a frequency around 5.5 \u00d7 1014 Hz. Which bulb produces a peak frequency closer to this value?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1793\/43019539171_d4a97aa04f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics8ps\" width=\"589\" height=\"626\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1808\/43019539521_f8ebaf2cec_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics8ps1\" width=\"622\" height=\"590\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.9CQ<\/strong><br \/>\nLight of a given wavelength ejects electrons from the surfaceof one metal but not from the surface of another metal. Give a possible explanation for this observation.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1765\/43019539821_fe86f41942_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics9cqs\" width=\"589\" height=\"159\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.9P<\/strong><br \/>\nIP A typical lightbulb contains a tungsten filament that reaches a temperature of about 2850 K, roughly half the surface temperatureof the Sun. (a) Treating the filament as a blackbody, determine the frequency for which its radiation is a maximum. (b) Do you expect the lightbulb to radiate more energy in the visible or in the infrared part of the spectrum? Explain.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1828\/43019540301_b4a41f42ce_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics9ps\" width=\"537\" height=\"410\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1807\/43019540601_696bcbbcc1_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics9ps1\" width=\"574\" height=\"443\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.10CQ<\/strong><br \/>\nWhy does the existence of a cutoff frequency inthe photoelectric effect argue in favor of the photon model of light?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1776\/43019540791_a92cf25daa_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics10cqs\" width=\"589\" height=\"108\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.10P<\/strong><br \/>\nExciting au Oxygen Molecule An oxygen molecule (O2) vibrates with an energy identical to that of a single particle of mass m = 1.340 \u00d7 10\u221226 kg attached to a spring with a force constant of k = 1215 N\/m. The energy levels of the system are uniformly spaced, as indicated in Figure 20, with a separation given by hf. (a) What is the vibration frequency of this molecule? (b) How much energy must be added to the molecule to excite it from one energy level to the next higher level?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1831\/43019541081_f36693150b_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics10p\" width=\"214\" height=\"112\" \/><br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1797\/43019541391_6220101949_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics10ps\" width=\"507\" height=\"467\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1767\/28150964227_b628a51609_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics10ps1\" width=\"617\" height=\"245\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.11CQ<\/strong><br \/>\nWhy can an electron microscope resolve, smaller objects than a light microscope?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1831\/28150964387_1027f6c97a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics11cqs\" width=\"584\" height=\"122\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.11P<\/strong><br \/>\nCE source of red light, a source of green light, and a source of blue light each produce beams of light with the same power. Rank these sources in order of increasing (a) wavelength of light, (b) frequency of light, and (c) number of photons emitted per second. Indicate ties where appropriate.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1770\/28150964617_17c9692a67_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics11ps\" width=\"620\" height=\"536\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1812\/42117784615_d68136a268_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics11ps1\" width=\"620\" height=\"385\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.12CQ<\/strong><br \/>\nA proton is about 2000 times more massive than an electron. Is it possible for an electron to have the same de Broglie wavelength as a proton? Explain.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1827\/28150964827_da6a70d599_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics12cqs\" width=\"619\" height=\"379\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1785\/28150965167_2c00c3ed9f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics12cqs1\" width=\"613\" height=\"369\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.12P<\/strong><br \/>\nCE Predict\/Explain A source of red light has a higher-wattage than a source of green light. (a) Is the energy of photons emitted by the red source greater than, less than, or equal to the energy of photons emitted by the green source? (b) Choose the best explanation from among the following:<br \/>\nI. The photons emitted by the red source have the greater energy because that source has the greater wattage.<br \/>\nII. The red-source photons have less energy than the green-source photons because they have a lower frequency. The wattage of the source doesn\u2019t matter.<br \/>\nIII. Photons from the red source have a lower frequency, but that source also has a greater wattage. The two effects cancel, so the photons have equal energy.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1809\/42117784895_70a5ebbe85_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics12ps\" width=\"598\" height=\"313\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.13P<\/strong><br \/>\nCE Predict\/Explain A source of yellow light has a higher-wattage than a source of blue light. (a) Is the number of photons emitted per second by the yellow source greater than, less than, or equal to the number of photons emitted per second by the blue source? (b) Choose the test explanation from among the following:<\/p>\n<ul>\n<li>The yellow source emits more photons per second because\n<ul>\n<li>it emits more energy per second than the blue source, and<\/li>\n<li>its photons have less energy than those of the blue source.<\/li>\n<\/ul>\n<\/li>\n<li>The yellow source has the higher wattage, which means its photons have higher energy than the blue-source photons. Therefore, the yellow source emits fewer photons per second.<\/li>\n<li>The two sources emit the same number of photons per second because the higher wattage of the yellow source compensates for the higher energy of the blue photons.<\/li>\n<\/ul>\n<p><span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1809\/28150965217_9a8d97d689_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics13ps\" width=\"608\" height=\"333\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.14P<\/strong><br \/>\nCE Predict\/Explain Light of a particular wavelength does not eject electrons from the surface of a given metal, (a) Should the wavelength of the light be increased or decreased in order to cause electrons to be ejected? (b) Choose the best explanation from among the following:<\/p>\n<ul>\n<li>The photons have too little energy to eject electrons. To increase their energy, their wavelength should be Increased.<\/li>\n<li>The energy of a photon is proportional to its frequency; that is, inversely proportional to its wavelength. To increase the energy of the photons so they can eject electrons, one must decrease their wavelength.<\/li>\n<\/ul>\n<p><span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1805\/28150965307_877dc0a074_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics14ps\" width=\"615\" height=\"538\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.15P<\/strong><br \/>\nCE Light of a particular wavelength and intensity does not eject efectrons from the surface of a given metal. Can electrons be ejected from the metal by increasing the intensity of the light? Explain.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1794\/28150965427_a057fd4975_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics15ps\" width=\"594\" height=\"119\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.16P<\/strong><br \/>\nWhen a person visits the local tanning salon, they absorb photons of ultraviolet (UV) light to get the desired tan. What are the frequency and wavelength of a LJV photon whose energy is 6.5 \u00d7 10\u221219 J?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1776\/28150965567_7202edd44d_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics16ps\" width=\"382\" height=\"558\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.17P<\/strong><br \/>\nAn AM radio station operating at a frequency of 880 kHz radiates 270 kW of power from its antenna. How many photons are emitted by the antenna every second?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1803\/28150965697_083f229612_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics17ps\" width=\"511\" height=\"629\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.18P<\/strong><br \/>\nAphoton with a wavelength of less than 50.4 ran can ionize a helium atom. What is the ionization potential of helium?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1793\/28150965817_9a40a2f6f5_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics18ps\" width=\"415\" height=\"504\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.19P<\/strong><br \/>\nAflashlight emits 2.5 W of light energy. Assuming a frequency of 5.2 \u00d7 1014 Hz for the light, determine the number of photons given off by the flashlight per second.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1797\/28150966077_aa71e356fe_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics19ps\" width=\"510\" height=\"555\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.20P<\/strong><br \/>\nLight of frequency 9.95 \u00d7 1014 Hz ejects electrons from the surface of silver. If the maximum kinetic energy of the ejected electrons is 0.180 \u00d7 10\u221219 J, what is the work function of silver?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1775\/28150966317_0707ceec9c_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics20ps\" width=\"595\" height=\"325\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.21P<\/strong><br \/>\nThe work function of gold is 4.58 eV. What frequency of light must be used to eject electrons from a gold surface with a maximum kinetic energy of 6.48 \u00d7 10\u221219 J?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1824\/28150966597_5bc919a597_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics21ps\" width=\"583\" height=\"517\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.22P<\/strong><br \/>\n(a) How many 350-nm (UV) photons- are needed to provide a total energy of 2.5 J? (b) How many 750-nm (red) photons are needed to provide the same energy?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1782\/42117786585_8487dd680c_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics22ps\" width=\"571\" height=\"651\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.23P<\/strong><br \/>\n(a) Mow many photons per second are emitted by a monochromatic lightbulb (\u03bb = 650 nm) that emits 45 W of power? (b) If you stand 15 m from this bulb, how many photons enter each of your eyes per second? Assume your pupil is 5.0 mm in diameter and that the bulb radiates uniformly in all directions.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1765\/42117786755_781d74b82e_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics23ps\" width=\"605\" height=\"647\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1784\/42117787025_062cf60c6a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics23ps1\" width=\"595\" height=\"424\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.24P<\/strong><br \/>\nIP Two 57.5-kW radio stations broadcast at different frequencies. Station A broadcasts ata frequency of 892 kHz, and station B broadcasts at a frequency of 1410 kHz. (a) Which station emits more photons per second? Explain, (b) Which station emits photons of higher energy?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1809\/43019544471_9b373eee19_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics24ps\" width=\"592\" height=\"627\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.25P<\/strong><br \/>\nDissociating the Hydrogen Molecule The energy required to separate a hydrogen molecule into its individual atoms is 104.2 kcal per mole of H2. (a) If the dissociation energy for a single H2 molecule is provided by one photon, determine its frequency and wavelength. (b) In what region of the electromagnetic spectrum does the photon found in part (a) lie? (Refer to the spectrum shown in Figure 25\u20138.)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1807\/42117787465_63ced3c074_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics25ps\" width=\"579\" height=\"558\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1762\/42117787725_7c626f9965_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics25ps1\" width=\"614\" height=\"475\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.26P<\/strong><br \/>\n(a) How many photons are emitted per second by a He-Ne laser that emits 1.0 mW of power at a wavelength \u03bb = 632.8 nm? (b) What is the frequency of the electromagnetic waves emitted by a He-Ne laser?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1763\/42117788045_5230f4a671_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics26ps\" width=\"605\" height=\"522\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1838\/42117788295_672849138f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics26ps1\" width=\"615\" height=\"602\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1787\/42117788555_804f3d5bd6_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics26ps2\" width=\"619\" height=\"144\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.27P<\/strong><br \/>\nIP You have two lightbulbs of different power and color, as indicated in Figure30-21. One is a 150-W red bulb, and the other is a 25-W blue bulb. (a) Which bulb emits more photons per second? (b) Which bulb emits photons of higher energy? (c) Calculate the number of photons emitted per second by each bulb. Take \u03bbred = 650 nm and \u03bbb1ue = 460 nm. (Most of the electromagnetic radiation given off by incandescent lightbulbs is in<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1773\/42117788735_e6cb47b308_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics27p\" width=\"286\" height=\"162\" \/><br \/>\nFIGURE 10\u201311 Problem 27<br \/>\nthe infrared portion of the spectrum. For the purposes of trug problem, however, assume that all of the radiated power is at the wavelengths indicated.)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1824\/42117789745_c0e3f1f0ba_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics27ps\" width=\"400\" height=\"608\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1796\/42117790215_3b085de16c_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics27ps1\" width=\"498\" height=\"487\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1811\/42117790495_7ced19a6f1_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics27ps2\" width=\"403\" height=\"644\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1798\/42117790815_e721c1f93c_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics27ps3\" width=\"513\" height=\"625\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.28P<\/strong><br \/>\nThe maximum wavelength an electromagnetic wave can have and still eject an electron from a copper surface is 264 nm. What is the work functionof a copper surface?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1798\/42117791195_7ee4f66609_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics28ps\" width=\"596\" height=\"376\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.29P<\/strong><br \/>\nIP Aluminum and calcium have photoelectric work functions of WAI = 4.28 eV and WCa, = 2.87 eV, respectively, (a) Which metal requireshigher-frequency light to produce photoelectrons? Explain, (b) Calculate the minimum frequency that will produce photoelectrons from each surface.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1765\/42117791395_668292cc90_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics29ps\" width=\"614\" height=\"417\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1787\/42117791615_88d7b7dda2_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics29ps1\" width=\"580\" height=\"619\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1805\/42969507252_ed870f322f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics29ps2\" width=\"551\" height=\"246\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.30P<\/strong><br \/>\nIP Two beams of light with different wavelengths (\u03bbA &gt; \u03bbB) are used to produce photoelectrons from a given metal surface, (a) Which beam produces photoelectrons with greater kinetic energy? Explain, (b) Find Kmax for cesium (W0 = 1.9 eV) if \u03bbA = 620 nm and \u03bbB = 410 nm.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1778\/42969507602_89c60593bc_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics30ps\" width=\"608\" height=\"555\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1774\/42969507962_f775f50fa7_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics30ps1\" width=\"592\" height=\"570\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.31P<\/strong><br \/>\nIP Zinc and cadmium have photoelectric work functions given by WZn = 4.33 eV and WCd = 4.22 cV, respectively, (a) If both metals are illuminated by UV radiation of the same wavelength, whichone gives off photoelcctrons with the greater maximum kinetic energy? Explain, (b) Calculate the maximum kinetic energy of photoelectrons from each surface if \u03bb = 275 nm.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1825\/42969508172_86d66281f5_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics31ps\" width=\"605\" height=\"628\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1783\/42969508462_8aec8e1979_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics31ps1\" width=\"604\" height=\"587\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1784\/42969508702_4a74c77c38_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics31ps2\" width=\"563\" height=\"125\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.32P<\/strong><br \/>\nWhite light, with frequencies ranging from 4.00 \u00d7 1014 Hz to 7.90 \u00d7 1014 Hz, is incident on a potassium surface. Given tha t the work function of potassium is 2.24 eV, find (a) the maximum kinetic energy of electrons ejected from this surface and (b) the range of frequencies for which no electrons are ejected.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1774\/42969508972_22915cdc26_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics32ps\" width=\"611\" height=\"556\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1840\/42969509202_4a16150a42_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics32ps1\" width=\"617\" height=\"452\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.33P<\/strong><br \/>\nElectromagnetic waves, with frequencies ranging from 4.00 \u00d7 1014 Hz to 9.00 \u00d7 1016 Hz, are incident on an aluminum surface. Given that the work function of aluminum is 4.28 eV, find (a) the maximum kinetic energy of electrons ejected from this surface and (b) the range of frequencies for which no electrons are ejected.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1801\/42969509472_bc3b060ceb_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics33ps\" width=\"605\" height=\"454\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1794\/29147555968_c8292157b3_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics33ps1\" width=\"590\" height=\"379\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.34P<\/strong><br \/>\nIP Platinum has a work function of 6.35 eV, and iron has a work function of 4.50 eV. Light of frequency 1.88 \u00d7 1015 Hz ejects electrons from both of these surfaces, (a) From which surface will the ejected electrons have a greater maximum kinetic energy? Explain, (b) Calculate the maximum kinetic energy of ejected electrons for each surface.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1778\/42969509932_ed14eec87f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics34ps\" width=\"607\" height=\"539\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1800\/42969510112_147b891cb2_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics34ps1\" width=\"609\" height=\"614\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.35P<\/strong><br \/>\nWhen light with a frequency f1 = 547.5 THz illuminates a metal surface, the most energetic photoelectrons have 1.260 \u00d7 10\u221219 J of kinetic energy. When light with a frequency f2 = 738.8THz is used Instead, the most energetic photoelectrons have 2.480 \u00d7 10\u221219 J of kinetic energy. Using these experimental results, determine the approximate value of Planck\u2019s constant.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1815\/42969510352_1191013bea_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics35ps\" width=\"592\" height=\"592\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1780\/42969510572_196ab921c0_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics35ps1\" width=\"259\" height=\"134\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.36P<\/strong><br \/>\nBIO Owl Vision Owls have large, sensitive eyes for good night vision. Typically, the pupil of an owl\u2019s eye can have a diameter of 8.5 mm (as compared with a maximum diameter of about 7.0 mm for humans). In addition, an owl\u2019s eye is about 100<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1809\/42969511112_71eb8f8104_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics36p\" width=\"185\" height=\"152\" \/><br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1816\/42969511302_4e30e16c32_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics36ps\" width=\"587\" height=\"495\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.37P<\/strong><br \/>\nCE If the momentum of a particle with finite mass is doubled, its kinetic energy increases by a factor of 4. If the momentum of a photon is doubled, by what factor does its energy increase?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1827\/42969511502_2c8f956974_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics37ps\" width=\"614\" height=\"182\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.38P<\/strong><br \/>\nThe photons used in microwave ovens have a momentum of 5.1 \u00d7 10\u221233 kg\u00b7 m\/s.(a) What is their wavelength? (b) How does the wavelength of the microwaves compare with the size of the holes in the metal screen on the door of the oven?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1790\/43019550471_472a368aa2_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics38ps\" width=\"609\" height=\"343\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.39P<\/strong><br \/>\nWhat speed must an electron have if its momentum is to be the same as that of an X-ray photon with a wavelength of\u00b7 0.25 nm?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1832\/42117796465_57c71cbb33_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics39ps\" width=\"600\" height=\"540\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.40P<\/strong><br \/>\nWhat is the wavelength of a photon that has the same momentum as an electron moving with a speed of 1200 m\/s?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1790\/42969512472_f80482d0b8_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics40ps\" width=\"592\" height=\"489\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.41P<\/strong><br \/>\nWhat is the frequency of a photon that has the same momentum as a neutron moving with a speed of 1500 m\/s?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1807\/42969513112_ebc5bd001f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics41ps\" width=\"599\" height=\"526\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1765\/42969513312_fc3d863430_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics41ps1\" width=\"297\" height=\"298\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.42P<\/strong><br \/>\nA hydrogen atom, initially at rest, emits an ultraviolet photon with a wavelength of\u03bb = 122 nm. What is the recoil speed of the atom after emitting the photon?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1803\/42969513692_6ce68246ef_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics42ps\" width=\"618\" height=\"432\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1789\/42969513822_e2fc573d37_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics42ps1\" width=\"461\" height=\"562\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.43P<\/strong><br \/>\nA blue-green photon (\u03bb = 486 nm) is absorbed by a free hydrogen atom, initially at rest. What is the recoil speed of the hydrogen atom after absorbing the photon?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1765\/42969514232_aa9aa3435c_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics43ps\" width=\"611\" height=\"642\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1785\/42969514402_923dfab83a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics43ps1\" width=\"383\" height=\"612\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1803\/42969514552_9c38e24138_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics43ps2\" width=\"623\" height=\"265\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.44P<\/strong><br \/>\nIP (a) Which has the greater momentum, a photon of red light or a photon of blue light? Explain. (b) Calculate the momentum of a photon of red light (f = 4.0 \u00d7 1034 Hz) and a photon of blue light (f = 7.9 \u00d7 1014 Hz).<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1832\/42969514612_4944d00d24_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics44ps\" width=\"298\" height=\"313\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1770\/42969514912_6cdcf1c17a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics44ps1\" width=\"600\" height=\"640\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.45P<\/strong><br \/>\nIP Photon Ahas twice the momentum of photon B. (a) Which photon has the greaterwavelength? Explain, (b) If the wavelength of photon A is 333 nm, what is the wavelength of photon B?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1763\/28150982867_b9d80d898b_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics45ps\" width=\"608\" height=\"645\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.46P<\/strong><br \/>\nA laser produces a 5.00-mW beam of light, consisting of photons with a wavelength of 632.8 run. (a) How many photons are emitted by the laser each second? (b) The laser beam strikes a black surface and is absorbed. What is the change in the momentum of each photon that is absorbed? (c) What force does the laser beam exert on the bJack surface?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1833\/28150983037_72dac6498f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics46ps\" width=\"613\" height=\"592\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1761\/28150983137_d5a1283358_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics46ps1\" width=\"566\" height=\"586\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.47P<\/strong><br \/>\nA Jaser produces a 7.50-mW beam of light, consisting of photons with a wavelength of 632.8 nm. (a) How many photons are emitted by the laser each second? (b) The laser beam strikes a mirror at normal incidence and is reflected. What is the change in momentum of each reflected photon? Give the magnitude only, (c) What force does the laser beam exert on the mirror?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1836\/28150983337_ee60dc2dbe_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics47ps\" width=\"607\" height=\"635\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1786\/41209227990_b1bd0c6ed6_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics47ps1\" width=\"388\" height=\"525\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.48P<\/strong><br \/>\nCE In a Compton scattering experiment, the scattered elec tron is observed to move in the same direction as the incident X-ray photon. What is the scattering angle of the photon? Explain.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1829\/41209228020_2d8aeb1869_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics48ps\" width=\"625\" height=\"168\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.49P<\/strong><br \/>\nAn X-ray photon has 38.0 keV of energy before it scatters from a free electron, and 33.5 keV after it scatters. What is the kinetic energy of the recoiling electron?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1769\/41209228210_ebdd4ec817_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics49ps\" width=\"337\" height=\"186\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.50P<\/strong><br \/>\nIn the Compton effect, an X-ray photon scatters from a free electron. Find the change in the photon\u2019s wavelength if it scatters at an angle of (a) \u03b8 = 30.0\u00b0, (b) \u03b8 = 90.0\u00b0, and (c) \u03b8 = 180.0\u201d relative to the incident direction.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1794\/41209228430_2641a5d55a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics50ps\" width=\"615\" height=\"466\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1811\/41209228570_96437aa0d8_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics50ps1\" width=\"515\" height=\"479\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.51P<\/strong><br \/>\nAn X-ray scattering from a free electron is observed to change its wavelength by 3.13 pm. At what angle to the incident direction does the scattered X-ray move?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1787\/42987539662_c4002402e5_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics51ps\" width=\"602\" height=\"599\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1829\/42318501854_2a9bf3cf62_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics51ps1\" width=\"388\" height=\"232\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.52P<\/strong><br \/>\nThe maximum Compton shift in wavelength occurs when a photon is scattered through 180\u00b0. What scattering angle will produce a wavelength shift of one-fourth the maximum?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/843\/42987539792_478db243e7_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics52ps\" width=\"599\" height=\"569\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1762\/42318502154_e3e701427e_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics52ps1\" width=\"358\" height=\"260\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.53P<\/strong><br \/>\nConsider two different photons that scatter through an angle of 180\u00b0 from a free electron. One is a visible-light photon with \u03bb = 520 nm, the other is an X-ray photon with \u03bb = 0.030 nm. (a) Which (if either) photon experiences the greater change in wavelength as a result of the scattering? Explain. (b) Which photon experiences the greater percentage change in wavelength? Explain. (c) Calculate the percentage change in wavelength of each photon.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1809\/42987540162_859347b433_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics53ps\" width=\"589\" height=\"559\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1790\/42134811235_5d51f2f4e9_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics53ps1\" width=\"566\" height=\"373\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.54P<\/strong><br \/>\nAn X-ray photon with a wavelength of 0.240 nm scatters from a free electron at rest. The scattered photon moves at an angle of 105\u00b0 relative to its incident direction. Find (a) the initial momentum and (b) the final momentum of the photon.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1785\/42987540282_9052030369_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics54ps\" width=\"400\" height=\"635\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1770\/42987540452_2c2d3aa989_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics54ps1\" width=\"344\" height=\"442\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.55P<\/strong><br \/>\nAn X-ray photon scatters from a free electron at rest at an angle of 175\u00b0 relative to the incident direction. (a) If the scattered photon has a wavelength of 0.320 nm, what is the wavelength of the incident photon? (b) Determine the energy of the incident and scattered photons. (c) Find the kinetic energy of the recoil electron.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/839\/42134812265_69d28aa31d_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics55ps\" width=\"616\" height=\"543\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1828\/42987540702_f72ceee27e_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics55ps1\" width=\"539\" height=\"487\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/927\/28168398167_3021fa14d2_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics55ps2\" width=\"578\" height=\"562\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.56P<\/strong><br \/>\nAn X-ray photon scatters through 180\u00b0 from (i) an electron or (ii) a helium atom. (a) In which case is the change in wavelength of the X-ray greater? Explain. (b) Calculate the change in wavelength for each of these two cases.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1801\/42987540922_9884e34b46_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics56ps\" width=\"599\" height=\"501\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/925\/42318504854_4ee32403b1_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics56ps1\" width=\"574\" height=\"635\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.57P<\/strong><br \/>\nA photon has an energy E and wavelength \u03bb before scattering from a free electron. After scattering through a 135\u00b0 angle, the photon\u2019s wavelength has increased by 10.0%. Find the initial wavelength and energy of the photon.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/847\/42987541292_15b4b40bf8_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics57ps\" width=\"612\" height=\"570\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/923\/28168399497_20386c5f10_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics57ps1\" width=\"450\" height=\"285\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.58P<\/strong><br \/>\nFind the direction of propagation of the scattered electron in Problem 51, given that the incident X-ray has a wavelength of 0.525 nm and propagates in the positive x direction.<br \/>\nProblem<br \/>\nAn X-ray scattering from a free electron is observed to change its wavelength by 3.13 pm. At what angle to the incident direction does the scattered X-ray move?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1802\/41226955070_74bb222e48_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics58ps\" width=\"604\" height=\"617\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/847\/42987541742_a18d4ab06e_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics58ps1\" width=\"599\" height=\"604\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.59P<\/strong><br \/>\nPredict\/Explain (a) As you accelerate your car away from a stoplight, does the de Broglie wavelength of the car increase, decrease, or stay the same? (b) Choose the best explanation from among the following:<br \/>\nI. The de Broglie wavelength will increase because the momentum of the car has increased.<br \/>\nII. The momentum of the car increases. It follows that the de Broglie wavelength will decrease, because it is inversely proportional to the wavelength.<br \/>\nIII. The de Broglie wavelength of the car depends only on its mass, which doesn\u2019t change by pulling away from the stoplight. Therefore, the de Broglie wavelength stays the same.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/845\/41226955350_4cc99317e2_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics59ps\" width=\"609\" height=\"281\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.60P<\/strong><br \/>\nBy what factor does the de Broglie wavelength of a particle change if (a) its momentum is doubled or (b) its kinetic energy is doubled? Assume the particle is nonrelativistic.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1784\/42987541852_fc4f26c849_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics60ps\" width=\"608\" height=\"248\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.61P<\/strong><br \/>\nA particle with a mass of 6.69 \u00d7 10\u201327 kg has a de Broglie wavelength of 7.22 pm. What is the particle\u2019s speed?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/838\/41226955750_6c40a0b311_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics61ps\" width=\"469\" height=\"426\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.62P<\/strong><br \/>\nWhat speed must a neutron have if its de Broglie wavelength is to be equal to the interionic spacing of table salt (0.282 nm)?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1784\/42987542052_0dd3912eed_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics62ps\" width=\"556\" height=\"571\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.63P<\/strong><br \/>\nA 79-kg jogger runs with a speed of 4.2 m\/s. If the jogger is considered to be a particle, what is her de Broglie wavelength?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/924\/41226956230_6c5dcb8f9a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics63ps\" width=\"609\" height=\"343\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.64P<\/strong><br \/>\nFind the kinetic energy of an electron whose de Broglie wavelength is 1.5 \u00c5<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/921\/42987542232_e3934ab79d_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics64ps\" width=\"404\" height=\"619\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/920\/41226956500_72e8994bf3_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics64ps1\" width=\"603\" height=\"214\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.65P<\/strong><br \/>\nA beam of neutrons with a de Brogue M\u2019a velength of 0.250 nn diffracts from a crystal of table salt, which has an interionic spacing of 0.282 nm. (a) What is the speed of the neutrons? (b) What is the angle of the second interference maximum?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/926\/41226957040_caee83e652_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics65ps\" width=\"612\" height=\"637\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/836\/41226957220_d68dc9ebce_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics65ps1\" width=\"324\" height=\"60\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1804\/41226957670_a2e2b5c682_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics65ps2\" width=\"626\" height=\"492\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.66P<\/strong><br \/>\nIP An electron and a proton have the same speed, (a) Which has the longer de Broglie wavelength? Explain. (b) Calculate the ratio (\u03bbe\/\u03bbp).<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/843\/41226958040_6f7fd76fda_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics66ps\" width=\"581\" height=\"607\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/916\/41226958290_6b8a382cab_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics66ps1\" width=\"590\" height=\"558\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.67P<\/strong><br \/>\nIP An electron and a proton have the same de Broglie wavelength, (a) Which has the greater kinetic energy? Explain. (b) Calculatethe ratio of the electron\u2019s kinetic energy to the kinetic energy of the proton.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1828\/42134818485_4de390abf8_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics67ps\" width=\"619\" height=\"417\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/925\/41226958670_b9f117bb43_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics67ps1\" width=\"349\" height=\"587\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/925\/42134819035_44ba6a7cf0_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics67ps2\" width=\"593\" height=\"623\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/844\/41226959310_10f43ef70c_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics67ps3\" width=\"557\" height=\"51\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.68P<\/strong><br \/>\nDiffraction effects become significant when the width of an aperture is comparable to the wavelength of the waves being diffracted, (a) At what speed will the de Broglie wavelength of a 65-kg student be equal to the 0.76-m width of a doorway? (b) At this speed, how long will it take the student to travel a distance of 1.0 mm? (For comparison, the age of the universe is approximately 4 \u00d7 1017s.)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1826\/41226959680_32c106a8e0_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics68ps\" width=\"596\" height=\"548\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/920\/42134819925_06a2ac4b82_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics68ps1\" width=\"605\" height=\"548\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.69P<\/strong><br \/>\nA particle has a mass m and an electric charge q. The particle is accelerated from rest through a potential difference V. What is the particle\u2019s de Broglie wavelength, expressed in terms of m, q, and V?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1782\/43037207771_48161f4ce6_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics69ps\" width=\"585\" height=\"535\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1822\/42134820405_269ca95c3a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics69ps1\" width=\"576\" height=\"308\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.70P<\/strong><br \/>\nA baseball (0.15 kg) and an electron both have a speed of 41 m\/s. Find the uncertainty in position of each of these objects, given that the uncertainty in their speed is 5.0%.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1829\/43037208141_7cc0e63c81_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics70ps\" width=\"593\" height=\"513\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1769\/42134820975_5260f6acf5_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics70ps1\" width=\"485\" height=\"414\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.71P<\/strong><br \/>\nThe uncertainty in position of a proton confined to the nucleus of an atom is roughly the diameter of the nucleus, If this diameter is 7.5 \u00d7 10\u221215, what is the uncertainty in the proton\u2019s momentum?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1804\/41226961580_b9d3aacb0c_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics71ps\" width=\"601\" height=\"511\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.72P<\/strong><br \/>\n\u201c The position of a 0.26-kg air-track cart is determined to within an uncertainty of 2.2 nun. What speed must the cart acquire as a result of the position measurement?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1830\/42134821735_997bb931df_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics72ps\" width=\"612\" height=\"566\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.73P<\/strong><br \/>\nThe measurement of an electron\u2019s energy requires a time interval of 1.0 \u00d7 10\u20138 s. What is the smallest possible uncertainty in the electron\u2019s energy?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1803\/42134821875_36021d8254_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics73ps\" width=\"617\" height=\"424\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.74P<\/strong><br \/>\nA particle\u2019s energy is measured with an uncertainty of 0.0010 eV. What is the smallest possible uncertainty in our knowledge of when the particle had this energy?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1827\/42134822225_5023e0c45b_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics74ps\" width=\"611\" height=\"541\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.75P<\/strong><br \/>\nAn excited state of a particular atom has a mean lifetime of 0.60 \u00d7 10\u20139 s, which we may take as the uncertainty \u0394t. What is the minimum uncertainty in any measurement of the energy of this state?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/914\/43037209981_a2151e443c_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics75ps\" width=\"614\" height=\"542\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.76P<\/strong><br \/>\nThe \u2211+ is an unstable particle, with a mean lifetime of 2.5 \u00d7 10\u201310 s. Its lifetime defines the uncertainty \u2206t for this particle. What is the minimum uncertainty in this particle\u2019s energy?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1784\/43037210541_1a9bb91d8d_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics76ps\" width=\"617\" height=\"490\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.77P<\/strong><br \/>\nThe uncertainty in an electron\u2019s position is 0.15 nm. (a) What is the minimum uncertainty \u2206p in its momentum? (b) What is the kinetic energy of an electron whose momentum is equal to this uncertainty (\u2206p = p)?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1785\/42134823205_cc402dbab1_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics77ps\" width=\"593\" height=\"462\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.78P<\/strong><br \/>\nThe uncertainty in a proton\u2019s position is 0.15 nm. (a) What is the minimum uncertainty \u2206p in its momentum? (b) What is the kinetic energy of a proton whose momentum is equal to this uncertainty (\u2206p = p)?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/919\/43037210781_8c8846643e_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics78ps\" width=\"543\" height=\"413\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.79P<\/strong><br \/>\nAn electron has a momentum p \u2248 1.7 \u00d7 10\u201325kg \u00b7 m\/s. What is the minimum uncertainty in its position that will keep the relative uncertainty in its momentum (\u2206p\/p) below 1.0%?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\nThe Heisenberg\u2019s uncertainty principle in terms of momentum and position is,<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1828\/43037211581_dc34718e73_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics79ps\" width=\"500\" height=\"637\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.80GP<\/strong><br \/>\nCE Suppose youperform an experiment on the photoelectric effect using light with a frequency high enough to eject electrons. If the intensity of the light is increased while the frequency is held constant, describe whether the following quantities increase,, decrease, or stay the same: (a) The maximum kinetic energy of an ejected electron; (b) the minimum de Broglie wavelength of an electron; (c) the number of electrons ejected per second; (d) the electric current in the phototube.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/838\/29165169368_17f34d34b6_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics80ps\" width=\"593\" height=\"275\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.81GP<\/strong><br \/>\nCE Suppose you perform an experiment on the photoelectric effect using light with a frequency high enough to eject electrons. If the frequency of the light is increased while the intensity is held constant, describe whether the following quantities increase, decrease, or stay the same: (a) The maximum kinetic energy of an ejected electron; (b) the minimum de Broglie wavelength of an electron; (c) the number of electrons ejected per second; (d) the electric current in the phototube.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1830\/43037212021_688a451968_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics81ps\" width=\"589\" height=\"228\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.82GP<\/strong><br \/>\nCE An electron that is accelerated from rest through a potential difference V0 has a de Broglie wavelength \u03bb0. What potential difference will double the electron&#8217;s wavelength? (Express your answer in terms of V0.)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1830\/42318515274_4c82c174a7_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics82ps\" width=\"566\" height=\"175\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.83GP<\/strong><br \/>\nCE A beam of particles diffracts from a crystal, producing an interference maximum at the angle \u03b8. (a) If the mass of the particles is increased, with every thing else remainingthe same, does the angle of the interference maximum increase, decrease, or stay the same? Explain (b). If the energy of the particles is increased, with every tiling else remaining the same, does the angle of the interference maximum increase, decrease, or stay the same? Explain.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/834\/29165169558_e18c1152d3_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics83ps\" width=\"554\" height=\"371\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.84GP<\/strong><br \/>\nYou want to construct a photocell that works with visible light. Three materials are readily available: aluminum (W0 = 4.28 eV), lead (W0 = 4.25 eV), and cesium (W0 = 2.14 eV). Which materials) would be suitable?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1787\/42318515784_8ae8e51f07_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics84ps\" width=\"529\" height=\"419\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1822\/29165169928_59033d0009_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics84ps1\" width=\"385\" height=\"386\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1785\/42318516134_44ebab6f57_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics84ps2\" width=\"601\" height=\"440\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.85GP<\/strong><br \/>\nBIO Human Vision Studies have shown that some people can detect 545-nm light with as few as 100 photons entering the eye per second. Wha t is the power delivered by such a beam of light?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1770\/29165170298_783105854f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics85ps\" width=\"572\" height=\"604\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.86GP<\/strong><br \/>\nA pendulum consisting of a 0.15-kg mass attached to a 0.78-m string undergoes simple harmonic motion, (a) What is the frequency of oscillation for this pendulum? (b) Assuming the energy of this system satisfies En = nhf, find the maximum speed of the 0.15-kg mass when the quantum number is 1.0 \u00d7 1033.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1785\/42318516954_dd2c141fe0_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics86ps\" width=\"520\" height=\"622\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1767\/29165170888_2486770f15_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics86ps1\" width=\"339\" height=\"371\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.87GP<\/strong><br \/>\nTo listen to a radio station, a certain home receiver must pick up a signal of at least 1.0 \u00d7 10\u221210 W. (a) If the radio waves have a frequency of 96 MHz, how many photons must the receiver absorb per second to get the station? (b) How much force is exerted on the receiving antenna for the case considered in part (a)?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1806\/42318517774_b4fc315bd6_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics87ps\" width=\"618\" height=\"592\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/844\/29165171188_a57541d195_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics87ps1\" width=\"504\" height=\"293\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.88GP<\/strong><br \/>\nThe latent heat for converting ice at0\u00b0C to water at 0\u00b0C is 80.0 kcal\/kg (Chapter 17). (a.) How many photons of frequency 6.0 \u00d7 101.1 Hz must be absorbed by a 1.0-kg block of ice at 0 \u00b0C to melt it to water at 0 \u00b0C? (b) How many molecules of H2O can one photon convert from ice to water?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1784\/42318518224_1dde611df6_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics88ps\" width=\"614\" height=\"629\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/921\/29165171668_cd1c23d9fe_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics88ps1\" width=\"619\" height=\"295\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.89GP<\/strong><br \/>\nHow many 550-nm photons would have to be absorbed to raise the temperature of 1.0 g of water by 1.0 C\u00b0?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/922\/42318518594_0fd321fcbe_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics89ps\" width=\"606\" height=\"609\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.90GP<\/strong><br \/>\nA microwave oven can heat 205 ml of water from 20.0 \u00b0C to 90.0 \u00b0C in 2.00 min. If the wavelength of the microwaves is \u03bb= 12.2 cm, how many photons were absorbed by the water? (Assume no loss of heat by the water.)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/834\/29165171958_50ea8d17b2_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics90ps\" width=\"619\" height=\"376\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1802\/42318519024_2b0cde8e58_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics90ps1\" width=\"603\" height=\"527\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.91GP<\/strong><br \/>\nLight with a frequency of 2.11 \u00d7 1015 Hz ejects electrons from the surface of lead, which has a work function of 4.25 eV. What is the minimum de Broglie wavelength of the ejected electrons?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/918\/29165172678_0302c63ef8_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics91ps\" width=\"563\" height=\"582\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1765\/42318519974_0ea9e60fa4_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics91ps1\" width=\"542\" height=\"417\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.92GP<\/strong><br \/>\nAn electron moving with a speed of 2.7 \u00d7 106 m\/s has the same momentum as a photon. Find (a) the de Broglie wavelength of the electron and (b) the wavelength of the photon.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1790\/29165173658_93087e7d9a_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics92ps\" width=\"507\" height=\"612\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/836\/42318520384_d9019628db_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics92ps1\" width=\"397\" height=\"71\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.93GP<\/strong><br \/>\nBIO The Cold Light of Fireflies Fireflies are often said to give off &#8220;cold light.&#8221; Given that the peak ina firefly&#8217;s radiation occurs at about 5.4 \u00d7 1014 Hz, determine the temperature of a blackbody that would have the same peak frequency. From your result, would you say that firefly radiation is well approximated by blackbody radiation? Explain.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1802\/42318520844_e6f0e339b3_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics93p\" width=\"271\" height=\"195\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1789\/42318520994_467238d619_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics93ps\" width=\"607\" height=\"405\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.94GP<\/strong><br \/>\nIP When light with a wavelength of 545 runshines on a metal surface, electrons are ejected with speeds of 3.10 \u00d7 105 m\/s or less. (a) Give a strategythat allows you to use the preceding information to calculate the work function and cutoff frequency for this surface. (b) Carry out your strategy and determine the work function and cutoff frequency.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1808\/42318521514_29ee4fd73e_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics94ps\" width=\"619\" height=\"506\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1829\/42318521754_65af45e596_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics94ps1\" width=\"503\" height=\"414\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.95GP<\/strong><br \/>\nIP A hydrogen atom absorbs a 486.2-nrn photon. A short time later, the same atom emits a photon with a wavelength of 97.23 nm. (a) Has the net energy of the atom increased or decreased? Explain. (b) Calculate the change in energy of the hydrogen atom.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1808\/42318522144_88f2abde13_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics95ps\" width=\"581\" height=\"434\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1803\/28168414857_ca13b9d1cd_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics95ps1\" width=\"503\" height=\"380\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.96GP<\/strong><br \/>\nWhen a beam of atoms emerges from an oven at the absolute temperature T, the most probable de Broglie wavelength for a given atom is<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1824\/42318522514_d6b91591f6_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics96p\" width=\"110\" height=\"49\" \/><br \/>\nIn this expression, m is the mass of an atom, and k is Boltz-mann&#8217;s constant (Chapter). What is the most probable speed of a hydrogen atom emerging from an oven at 450 K?<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/840\/42318522634_f6dab493ea_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics96ps\" width=\"450\" height=\"477\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/916\/42318522874_b768f0847f_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics96ps1\" width=\"596\" height=\"382\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.97GP<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-28349 size-full\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/06\/mastering-physics-solutions-chapter-30-quantum-physics97p.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics97p\" width=\"603\" height=\"101\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/06\/mastering-physics-solutions-chapter-30-quantum-physics97p.png 603w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/06\/mastering-physics-solutions-chapter-30-quantum-physics97p-300x50.png 300w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1823\/42318523074_b2d6f9d488_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics97ps\" width=\"601\" height=\"408\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1809\/42318523174_30cb4acf3d_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics97ps1\" width=\"451\" height=\"328\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.98GP<\/strong><br \/>\nA jar is filled with monatomic helium gas at a temperature of 25 \u00b0C. The pressure inside the jar is one atmosphere; that is, 101 kPa. (a) Find the average de Broglie wavelength of the he-Hum atoms. (b) Calculate the average separation between helium atoms in the jar. (Note: The fact that the spacing between atoms is much greater than the de Broglie wavelength means quantumeffects are negligible, and the atoms can be treated as particles.)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/920\/42318523464_5cdf80a926_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics98ps\" width=\"603\" height=\"523\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1809\/42318523604_ca373cd641_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics98ps1\" width=\"517\" height=\"381\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.99GP<\/strong><br \/>\nThe Compton Wavelength The Compton wavelength, \u03bbC, of a particle of mass m is defined as follows: \u03bbC = h\/mc. (a) Calculate the Compton wavelength of a proton. (b) Calculate the energy of a photon that has the same wavelength as found in part<br \/>\n(a), (c) Show, in general, that a photon with a &#8220;wavelength equal to the Compton wavelength of a particle has an energy that is equal to the rest energy of the particle.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1824\/42318523754_33421710fd_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics99ps\" width=\"376\" height=\"565\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1789\/42318523864_ba0489349b_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics99ps1\" width=\"450\" height=\"274\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.100GP<\/strong><br \/>\nIP Light of frequency 8.22 \u00d7 1014 Hz ejects electrons from surface A with a maximum kinetic energy that is 2.00 \u00d7 10\u221219 J greater than the maximum kinetic energy of electrons ejected from surface B. (a) If the frequency of the light is increased, does the difference in maximum kinetic energy observed from, the two surfaces increase, decrease, or stay the same? Explain. (b) Calculate the difference in work function for these two surfaces.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/842\/42318524074_c6b7defe84_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics100ps\" width=\"608\" height=\"478\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1824\/42318524324_a657ffac34_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics100ps1\" width=\"524\" height=\"273\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.101PP<\/strong><br \/>\nWhat is the work function, W0, for lithium, as determined from Millikan&#8217;s results?<br \/>\nA. 0.0112 eV<br \/>\nB. 0.951 eV<br \/>\nC. 1.63 eV<br \/>\nD. 2.29 eV<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/836\/42318524634_8b3f52f733_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics101ps\" width=\"620\" height=\"614\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1787\/42318524764_d84cd43e88_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics101ps1\" width=\"396\" height=\"363\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.102PP<\/strong><br \/>\nWhat value does Millikan obtain for Planck&#8217;s constant, based on the lithium measurements? (His value is close to, but not the same as, the currently accepted value.)<br \/>\nA. 1.12 \u00d7 10\u221234 J\u00b7 s<br \/>\nB. 3.84 \u00d7 10\u221234 J\u00b7 s<br \/>\nC. 6.14 \u00d7 10\u221234 J\u00b7 s<br \/>\nD. 6.57 \u00d7 10\u221234 J\u00b7 s<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/924\/42318525334_dbfdd26e88_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics102ps\" width=\"621\" height=\"562\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1804\/42318525944_b5d3a53614_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics102ps1\" width=\"387\" height=\"473\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/839\/42318526284_90242dd29e_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics102ps2\" width=\"319\" height=\"235\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.103PP<\/strong><br \/>\nWhat maximum kinetic energy do you predict Millikan found when he used light with a wavelength of 365.0 nm?<br \/>\nA. 0.805 eV<br \/>\nB. 1.08 eV<br \/>\nC. 2.29 eV<br \/>\nD. 2.82 eV<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/838\/42318526884_6afec49878_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics103ps\" width=\"392\" height=\"442\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.104IP<\/strong><br \/>\nIP Referring to Example 30\u20134 An X-ray photon with \u03bb = 0.6500 nm scatters from an electron, giving the electron a kinetic energy of 7.750 eV. (a) Is the scattering angle of the photon greater than, less than, or equal to 152\u00b0? (b) Find the scattering angle.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/842\/42318527224_2253a61330_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics104ps\" width=\"594\" height=\"626\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1828\/42318527864_b6121da54d_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics104ps1\" width=\"576\" height=\"645\" \/><\/p>\n<p><strong>Chapter 30 Quantum Physics Q.105IP<\/strong><br \/>\nIP Referring to Example 30\u20134 An X-ray photon with \u03bb = 0.6500 nm scatters from an electron. The wavelength of the scattered photon is 0.6510 nm. (a) Is the scattering angle in this case greater than, less than, or equal to 152\u00b0? (b) Find the scattering angle.<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm1.staticflickr.com\/921\/42318528214_461ef2bcc4_o.png\" alt=\"mastering-physics-solutions-chapter-30-quantum-physics105ps\" width=\"577\" height=\"532\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mastering Physics Solutions Chapter 30 Quantum Physics Mastering Physics Solutions Chapter 30 Quantum Physics Q.1CQ Give a brief description of the \u201cultraviolet catastrophe.\u201d Solution: Chapter 30 Quantum Physics Q.1P CE Predict\/Explain The blackbody spectrum of blackbody A peaks at a longer wavelength than that of blackbody B. (a) Is the temperature of blackbody A higher &#8230; <a title=\"Mastering Physics Solutions Chapter 30 Quantum Physics\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/mastering-physics-solutions-chapter-30-quantum-physics\/\" aria-label=\"More on Mastering Physics Solutions Chapter 30 Quantum Physics\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[10850],"tags":[11569,11559,11565,31397,11553,11555,11568,21376,31396,11554,11556,11566,11558,11563,11561,11557,11567,11562,11564,11560],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mastering Physics Solutions Chapter 30 Quantum Physics - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/mastering-physics-solutions-chapter-30-quantum-physics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mastering Physics Solutions Chapter 30 Quantum Physics\" \/>\n<meta property=\"og:description\" content=\"Mastering Physics Solutions Chapter 30 Quantum Physics Mastering Physics Solutions Chapter 30 Quantum Physics Q.1CQ Give a brief description of the \u201cultraviolet catastrophe.\u201d Solution: Chapter 30 Quantum Physics Q.1P CE Predict\/Explain The blackbody spectrum of blackbody A peaks at a longer wavelength than that of blackbody B. 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