Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 38, Problem 27P
To determine
To find:
a) The
b) The same for a scattering angle of
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In the 1920s Clinton Davisson and Lester Germer accidentally observed diffraction when electrons with 54 eV of energy were scattered off crystalline nickel. The diffraction peak occurred when the angle between the incident beam and the scattered beam was 50°. (a) What is the corresponding angle u relevant for Eq.? (b) The planes in crystalline nickel are separated by 0.091 nm, as determined by x-ray scattering experiments. According to the Bragg condition, what wavelength do the electrons in these experiments have? (c) Given the mass of an electron as 9.11 x 10-31 kg, what is the corresponding classical speed vcl of the diffracted electrons? (d) Assuming the electrons correspond to a wave with speed vcl and wavelength λ, what is the frequency f of the diffracted waves? (e) Quantum mechanics postulates that the energy E and the frequency f of a particle are related by E = hf, where h is known as Planck’s constant. Estimate h from these observations. (f) Our analysis has a small flaw:…
Light of wavelength 2.40 pm is directed onto a target containing free electrons. (a) Find the wavelength of light scattered at 30.0° from the incident direction. (b) Do the same for a scattering angle of 120°.
Light of wavelength 322 nm is incident on an uncharged metal sphere of diameter 12.2 cm. If the work function for the metal is 3.68 eV, determine the charge (in C) induced on the sphere due to photoelectric effect.
Chapter 38 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Prob. 5QCh. 38 - Prob. 6QCh. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10Q
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- Problem 1: If electromagnetic radiation with a photon energy of 20 meV impinges on two slits spaced 0.1 mm apart, find the angle between the center line and the 1 minimum and 1 maximum of the resulting interference pattern. Problem 2: A non-relativistic beam of electrons travels at 5% the speed of light and impinges on a slit that is 0.05 um wide. Use modern units (e.g eV, etc) to find thearrow_forwardThe diffraction of radiation can be used to determine the spacing between atoms. In practice, the wavelength of the radiation used should be restricted to a value which is of the same order of magnitude as the interatomic distances to be determined. Such experiments are commonly performed using X-rays (electromagnetic radiation), however a beam of subatomic particles, such as of neutrons or electrons, may also be used if their corresponding de Broglie wavelength is of the appropriate magnitude.Calculate the de Broglie wavelength of a neutron (mn = 1.67493×10-27 kg) moving at one eight hundredth of the speed of light (c/800).arrow_forwardThe diffraction of radiation can be used to determine the spacing between atoms. In practice, the wavelength of the radiation used should be restricted to a value which is of the same order of magnitude as the interatomic distances to be determined. Such experiments are commonly performed using X-rays (electromagnetic radiation), however a beam of subatomic particles, such as of neutrons or electrons, may also be used if their corresponding de Broglie wavelength is of the appropriate magnitude. Calculate the de Broglie wavelength of a neutron (mn = 1.67493×10-27 kg) moving at one four hundredth of the speed of light (c/400). (Enter at least 4 significant figures.) Calculate the velocity of an electron (me = 9.10939×10-31 kg) having a de Broglie wavelength of 167.1 pm.arrow_forward
- Light of wavelength 302 nm is incident on an uncharged metal sphere of diameter 16.2 cm. If the workfunction for the metal is 3.68 eV, determine the charge (in C) induced on the sphere due to photoelectriceffectarrow_forwardModern physics The beryllium surface is illuminated by light with a wavelength of 300 nm. The work function of beryllium metal is 3.9 eV. Find the maximum kinetic energies of the electrons removed from the beryllium surface in terms of eV and find the velocity in m / s.arrow_forward1. a) What are the energy and momentum of a photon of red light of wavelength 650 nm? (b) What is the wavelength of a photon of energy 2.40 eV?arrow_forward
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