Question 1

A beam of x-rays at a certain wavelength are scattered from a free electron at rest and the scattered beam is observed at 45.0° to the incident beam. What is the change in the wavelength of the X-rays? (mel = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

Accepted Answer

A)   0.175 pm
B)   0.276 pm
C)   0.000 pm
D)   0.356 pm
E)   0.710 pm

Question 2

A photon of wavelength 18.0 pm is scattered through an angle of 120° by a stationary electron. What is the wavelength of the scattered photon? (mel = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

Accepted Answer

A)   19.2 pm
B)   20.4 pm
C)   21.6 pm
D)   22.9 pm
E)   24.1 pm

Question 3

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10-13 J? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

Accepted Answer

A)   1.0 × 106
B)   1.4 × 108
C)   6.2 × 109
D)   3.9 × 103

Question 4

When a certain metal is illuminated by light, photoelectrons are observed provided that the wavelength of the light is less than 669 nm. Which one of the following values is closest to the work function of this metal? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   1.9 eV
B)   2.0 eV
C)   2.2 eV
D)   2.3 eV

Question 5

Light of wavelength 105 nm falls on a metal surface for which the work function is 5.00 eV. What is the minimum de Broglie wavelength of the photoelectrons emitted from this metal? (h = 6.626 × 10-34 J ∙ s = 4.14 × 10-15 eV ∙ s, c = 3.00 × 108 m/s, mel = 9.11 × 10-31 kg,
1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   0.24 nm
B)   0.33 nm
C)   0.47 nm
D)   0.66 nm
E)   0.94 nm

Question 6

Monochromatic light strikes a metal surface and electrons are ejected from the metal. If the intensity of the light is increased, what will happen to the ejection rate and maximum energy of the electrons?

Accepted Answer

A)   greater ejection rate; same maximum energy
B)   same ejection rate; greater maximum energy
C)   greater ejection rate; greater maximum energy
D)   same ejection rate; same maximum energy

Question 7

Electrons emerge from an electron gun with a speed of 2.0 × 106 m/s and then pass through a pair of thin parallel slits. Interference fringes with a spacing of 2.7 mm are detected on a screen far from the double slit and fairly close to the center of the pattern. What would the fringe spacing be if the electrons were replaced by neutrons with the same speed? (mel = 9.11 × 10-31 kg, mneutron = 1.67 × 10-27 kg)

Accepted Answer

A)   1.5 µm
B)   4.9 µm
C)   0.93 nm
D)   1.1 µm
E)   1.5 nm

Question 8

A metal having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV. What is the maximum kinetic energy of the photoelectrons produced by this light? -19 J B)  3.8 × 10-19 J C)  4.7 × 10-19 J D)  5.5 × 10-19 J E)  6.4 × 10-19 J" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   2.6 × 10-19 J
B)   3.8 × 10-19 J
C)   4.7 × 10-19 J
D)   5.5 × 10-19 J
E)   6.4 × 10-19 J

Question 9

A nonrelativistic electron has a kinetic energy of 5.4 eV. What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (mel = 9.11 × 10-31 kg, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   2.4 keV
B)   2.2 keV
C)   2.0 keV
D)   2.5 keV
E)   2.7 keV

Question 10

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × proton = 1.67 × 10-27 kg, c = 3.00 × 108 m/s)  A)  220 keV B)  150 keV C)  290 keV D)  360 keV E)  440 keV" class="answers-bank-image d-inline" rel="preload" > m/s? (mproton = 1.67 × 10-27 kg, c = 3.00 × 108 m/s)

Accepted Answer

A)   220 keV
B)   150 keV
C)   290 keV
D)   360 keV
E)   440 keV

Question 11

Light shines through atomic hydrogen gas. It is seen that the gas absorbs light readily at a wavelength of 91.63 nm. What is the value of n of the level to which the hydrogen is being excited by the absorption of light of this wavelength? Assume that the most of the atoms in the gas are in the lowest level. (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J, the Rydberg constant is R = 1.097 × 107 m-1.)

Accepted Answer

A)   14
B)   16
C)   11
D)   21

Question 12

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm. How many photons does the laser emit in one second? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

Accepted Answer

A)   6.7 × 1015
B)   8.8 × 1015
C)   1.1 × 1016
D)   1.3 × 1016

Question 13

A stopping potential of 0.50 V is required when a phototube is illuminated with monochromatic light of wavelength 590 nm. Monochromatic light of a different wavelength is now shown on the tube, and the stopping potential is measured to be 2.30 V. What is the wavelength of this new light? (c = 3.00 × 108 m/s, e = -1.60 × 10-19 C, h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   320 nm
B)   300 nm
C)   340 nm
D)   360 nm
E)   410 nm

Question 14

A metal having a work function of 2.5 eV is illuminated with white light that has a continuous wavelength band from 400 nm to 700 nm. For which one of the following ranges of the wavelength band in this white light are photoelectrons NOT produced? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   500 nm to 700 nm
B)   400 nm to 560 nm
C)   500 nm to 560 nm
D)   400 nm to 500 nm
E)   560 nm to 700 nm

Question 15

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength. Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

Accepted Answer

A)   Both particles have the same speed.
B)   Both particles have the same kinetic energy.
C)   Both particles have the same momentum.
D)   The electron has more kinetic energy than the proton.
E)   The electron has more momentum than the proton.

Question 16

When a metal surface is illuminated with light of wavelength 437 nm, the stopping potential for photoelectrons is 1.67 V. (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, e = -1.60 × 10-19 C,
1 eV = 1.60 × 10-19 J, mel = 9.11 × 10-31 kg)
(a) What is the work function of the metal, in eV?
(b) What is the maximum speed of the ejected electrons?

Accepted Answer

(a) 1.17 e...

Question 17

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV. The energy of the n = 2 state of hydrogen in this model is closest to

Accepted Answer

A)   -3.4 eV.
B)   -6.8 eV.
C)   -1.7 eV.
D)   -13.6 eV.
E)   -4.5 eV.

Question 18

In a double slit experiment, a beam of electrons strikes a pair of slits. The slits are 15 μm apart, and the first interference maximum lies at an angle of 0.50 µrad from the center of the interference pattern. What is the momentum of the incoming electrons? (h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg)

Accepted Answer

A)   4.4 × 10-23 kg ∙ m/s
B)   2.2 × 10-23 kg ∙ m/s
C)   1.1 × 10-23 kg ∙ m/s
D)   6.6 × 10-23 kg ∙ m/s
E)   8.8 × 10-23 kg ∙ m/s

Question 19

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 107 m-1, c = 3.00 × 108 m/s.)

Accepted Answer

A)   2.86 × 1013 Hz
B)   1.43 × 1013 Hz
C)   7.46 × 1013 Hz
D)   8.82 × 1013 Hz
E)   1.05 × 1013 Hz

Question 20

A hydrogen atom is excited to the n = 10 stated. It then decays to the n = 4 state by emitting a photon which is detected in a photographic plate. What is the frequency of the detected photon? The lowest level energy state of hydrogen is -13.6 eV. (h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)   3.46 × 1014 Hz
B)   0.865 × 1014 Hz
C)   1.27 × 1014 Hz
D)   4.05 × 1014 Hz
E)   1.73 × 1014 Hz

Exam 38: Quantization

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength. Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

Correct Answer
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Correct Answer
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Correct Answer
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A metal having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV. What is the maximum kinetic energy of the photoelectrons produced by this light?

Correct Answer
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Monochromatic light strikes a metal surface and electrons are ejected from the metal. If the intensity of the light is increased, what will happen to the ejection rate and maximum energy of the electrons?

Correct Answer
verified

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV. The energy of the n = 2 state of hydrogen in this model is closest to

Correct Answer
verified

A nonrelativistic electron has a kinetic energy of 5.4 eV. What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (m_el = 9.11 × 10^-31 kg, c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J)

Correct Answer
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What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × m/s? (m_proton = 1.67 × 10^-27 kg, c = 3.00 × 10⁸ m/s)

Correct Answer
verified

When a certain metal is illuminated by light, photoelectrons are observed provided that the wavelength of the light is less than 669 nm. Which one of the following values is closest to the work function of this metal? (h = 6.626 × 10^-34J ∙ s, c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J)

Correct Answer
verified

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm. How many photons does the laser emit in one second? (h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s)

Correct Answer
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Correct Answer
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Correct Answer
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A beam of x-rays at a certain wavelength are scattered from a free electron at rest and the scattered beam is observed at 45.0° to the incident beam. What is the change in the wavelength of the X-rays? (m_el = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s)

Correct Answer
verified

A photon of wavelength 18.0 pm is scattered through an angle of 120° by a stationary electron. What is the wavelength of the scattered photon? (m_el = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s)

Correct Answer
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Correct Answer
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Correct Answer
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(a) 1.17 e...
View Answer

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10^-13 J? (h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸m/s)

Correct Answer
verified

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 10⁷ m^-1,^c= 3.00 × 10⁸ m/s.)

Correct Answer
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Correct Answer
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Correct Answer
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Exam 38: Quantization

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength. Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A metal having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV. What is the maximum kinetic energy of the photoelectrons produced by this light?

Correct AnswerverifiedShow Answer

Monochromatic light strikes a metal surface and electrons are ejected from the metal. If the intensity of the light is increased, what will happen to the ejection rate and maximum energy of the electrons?

Correct AnswerverifiedShow Answer

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV. The energy of the n = 2 state of hydrogen in this model is closest to

Correct AnswerverifiedShow Answer

A nonrelativistic electron has a kinetic energy of 5.4 eV. What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (mel = 9.11 × 10-31 kg, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)

Correct AnswerverifiedShow Answer

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × m/s? (mproton = 1.67 × 10-27 kg, c = 3.00 × 108 m/s)

Correct AnswerverifiedShow Answer

When a certain metal is illuminated by light, photoelectrons are observed provided that the wavelength of the light is less than 669 nm. Which one of the following values is closest to the work function of this metal? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)

Correct AnswerverifiedShow Answer

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm. How many photons does the laser emit in one second? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A beam of x-rays at a certain wavelength are scattered from a free electron at rest and the scattered beam is observed at 45.0° to the incident beam. What is the change in the wavelength of the X-rays? (mel = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

Correct AnswerverifiedShow Answer

A photon of wavelength 18.0 pm is scattered through an angle of 120° by a stationary electron. What is the wavelength of the scattered photon? (mel = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct Answerverified(a) 1.17 e...View AnswerShow Answer

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10-13 J? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

Correct AnswerverifiedShow Answer

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 107 m-1, c = 3.00 × 108 m/s.)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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Correct Answer
verified

Correct Answer
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Correct Answer
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Correct Answer
verified

A nonrelativistic electron has a kinetic energy of 5.4 eV. What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (m_el = 9.11 × 10^-31 kg, c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J)

Correct Answer
verified

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × m/s? (m_proton = 1.67 × 10^-27 kg, c = 3.00 × 10⁸ m/s)

Correct Answer
verified

When a certain metal is illuminated by light, photoelectrons are observed provided that the wavelength of the light is less than 669 nm. Which one of the following values is closest to the work function of this metal? (h = 6.626 × 10^-34J ∙ s, c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J)

Correct Answer
verified

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm. How many photons does the laser emit in one second? (h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A beam of x-rays at a certain wavelength are scattered from a free electron at rest and the scattered beam is observed at 45.0° to the incident beam. What is the change in the wavelength of the X-rays? (m_el = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s)

Correct Answer
verified

A photon of wavelength 18.0 pm is scattered through an angle of 120° by a stationary electron. What is the wavelength of the scattered photon? (m_el = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
(a) 1.17 e...
View Answer

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10^-13 J? (h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸m/s)

Correct Answer
verified

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 10⁷ m^-1,^c= 3.00 × 10⁸ m/s.)

Correct Answer
verified

Correct Answer
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Correct Answer
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