College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 27, Problem 11CQ
To determine
When are the electrons emitted from the material.
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Assume that the total energy E of an electron greatly exceeds its rest energy E0. If a photon has a wavelength equal to the de Broglie wavelength of the electron, what is the photon’s energy? Repeat the problem assuming E= 2E0 for the electron.
The photoelectric equation for the kinetic energy of a photoelectron is, following Einstein, E <
hf – W, whereh is Planck's constant, f is the frequency of the light, and W is the work-function.
Sodium has W = 3.2×10-19 J. When sodium is illuminated by monochromatic light of a particular
frequency, electrons are emitted with speeds up to 8 x 105 ms-1.
a) Calculate the wavelength of the light.
b) Calculate the stopping potential.
An electron has a de Broglie wavelength λ = 4.5×10−10 m . h=6.626×10−34 J⋅s, e=1.602×10−19 C, me=9.109×10−31 kg. What is its momentum? (p =h/)
Chapter 27 Solutions
College Physics
Ch. 27.5 - Prob. 27.1QQCh. 27.5 - Prob. 27.2QQCh. 27.5 - Prob. 27.3QQCh. 27.6 - Prob. 27.4QQCh. 27.6 - Prob. 27.5QQCh. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Prob. 5CQ
Ch. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - Prob. 9CQCh. 27 - Prob. 10CQCh. 27 - Prob. 11CQCh. 27 - Prob. 12CQCh. 27 - Prob. 13CQCh. 27 - Prob. 14CQCh. 27 - Prob. 15CQCh. 27 - Prob. 16CQCh. 27 - Prob. 1PCh. 27 - Prob. 2PCh. 27 - Prob. 3PCh. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - Prob. 7PCh. 27 - Prob. 8PCh. 27 - Prob. 9PCh. 27 - Prob. 10PCh. 27 - Prob. 11PCh. 27 - Prob. 12PCh. 27 - Prob. 13PCh. 27 - Prob. 14PCh. 27 - Prob. 15PCh. 27 - Prob. 16PCh. 27 - Prob. 17PCh. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Prob. 20PCh. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - Prob. 24PCh. 27 - Prob. 25PCh. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - Prob. 28PCh. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - Prob. 33PCh. 27 - Prob. 34PCh. 27 - Prob. 35PCh. 27 - Prob. 36PCh. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - Prob. 40PCh. 27 - Prob. 41APCh. 27 - Prob. 42APCh. 27 - Prob. 43APCh. 27 - Prob. 44APCh. 27 - Prob. 45APCh. 27 - Prob. 46APCh. 27 - Prob. 47APCh. 27 - Prob. 48APCh. 27 - Prob. 49APCh. 27 - Prob. 50APCh. 27 - Prob. 51APCh. 27 - Prob. 52AP
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- 15.(a)What is the frequency of an x-ray photon whose momentum is 1.1x 1023 kg m/s? (b) How much energy must a photon have if it is to have the momentum of a 10-MeV proton?arrow_forwardA neutron of mass 1.675 × 10-27 kg has a de Broglie wavelength of 7.8x10-12 m. What is the kinetic energy (in eV) of this non-relativistic neutron? Please give your answer with two decimal places. 1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s.arrow_forwardThe photoelectric equation for the kinetic energy of a photoelectron is, following Einstein, E < hf – W, where h is Planck's constant, f is the frequency of the light, and W is the work-function. Sodium has W = 3.2×10-19 J. When sodium is illuminated by monochromatic light of a particular frequency, electrons are emitted with speeds up to 8 x 105 ms-1. a) Calculate the wavelength of the light. b) Calculate the stopping potential.arrow_forward
- An electron has kinetic energy E = 295KeV which is equal to the energy of a photon. Let λ1 be the de-Broglie wavelength of the electron and λ2 be the wavelength of the photon. What would be the ratio of λ1/λ2?arrow_forwardA) Calculate the de Broglie wavelength of a neutron (mn = 1.67493×10-27 kg) moving at one six hundredth of the speed of light (c/600). (Enter at least 4 significant figures.) B) Calculate the velocity of an electron (me = 9.10939×10-31 kg) having a de Broglie wavelength of 230.1 pm.arrow_forwardThe photoelectric equation for the kinetic energy of a photoelectron is, following Einstein, E ≤hf − W, where h is Planck’s constant, f is the frequency of the light, and W is the work-function.Sodium has W = 3.2×10−19 J. When sodium is illuminated by monochromatic light of a particularfrequency, electrons are emitted with speeds up to 8 × 105 m s−1.a) Calculate the wavelength of the light.b) Calculate the stopping potential.arrow_forward
- What is the velocity of an electron emitted by lithium (work function = 2.90 e.v.) if light with a frequency of 4.77x1015 s-1 is absorbed?arrow_forwardAn electron has a de Broglie wavelength λ = 4.5×10−10 m .h=6.626×10−34 J⋅s, e=1.602×10−19 C, me=9.109×10−31 kg. What is its momentum?arrow_forwardThe photoelectric equation for the kinetic energy of a photoelectron is, following Einstein, E < hf – W, where h is Planck's constant, f is the frequency of the light, and W is the work-function. Sodium has W = 3.2 x 10-19 J. When sodium is illuminated by monochromatic light of a particular frequency, electrons are emitted with speeds up to 8 x 105 m s-1. a) Calculate the wavelength of the light. b) Calculate the stopping potential.arrow_forward
- A hydrogen atom transitions from the n = 8 excited state to the n = 4 excited state, emitting a photon. (a) What is the energy, in electron volts, of the photon emitted by the hydrogen atom? eV(b) What is the wavelength of the photon emitted by the hydrogen atom? m(c) What is the frequency of the photon emitted by the hydrogen atom? Hzarrow_forwardAn electron has a kinetic energy of 4.1 × 10–¹³ J. 46. What is the electron's speed? (a) 0.960c (b) 0.968c (c) 0.972c (d) 0.980c (e) 0.986c 47. What is the de Broglie wavelength of the electron described? (a) 4.09 × 10-13 m (b) 4.94 × 10-13m (c) 5.42 × 10-13 m (d) 6.25 × 10-13 m (e) 7.81 x 10-13marrow_forwardCalculate the velocity of a proton having de-Broglie wavelength of 0.2 nm. (A) 5.985 x 10ʻ m/s (B) 1.985 x 10' m/s (C) 5.985 x 10“ m/s (D) 1.985 x 10* m/sarrow_forward
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