College Physics, Volume 1
College Physics, Volume 1
11th Edition
ISBN: 9781337653329
Author: Raymond A. Serway; Chris Vuille
Publisher: Cengage Learning US
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Chapter 27, Problem 34P

(a)

To determine

The expression for the momentum of the particle.

(b)

To determine

The expression for the de Broglie wavelength.

(c)

To determine

An electron or proton, which will have a shorter wavelength.

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A) 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.
A photon with wavelength X scatters off an electron at rest, at an angle with the incident direction. The Compton wavelength of the electron Ac = 0.0024 nm. a) For λ = 0.0006 nm and 0 = 53 degrees, find the wavelength X' of the scattered photon in nanometres. b) Obtain a formula for the energy of the electron Ee after collision, in terms of the universal constants h, c and the variables X, X' and Ac. The answer must be expressed in terms of these variables only. (Please enter an algebraic expression using latex format; do not input any numerical values) c) Using the energy conservation condition, find the value of the electron energy Ee after scattering in units of keV. d) Write an algebraic expression for the electron's momentum pe in terms of its energy Ee, its mass me and the speed of light c. e) What is the de Broglie wavelength of the scattered electron ? Express your answer in terms of Ee, me, and X and c. f) Find the value of the de Broglie wavelength of the scattered electron…
The smallest atoms can themselves exhibit quantum mechanical behavior   Calculate the de Broglie wavelength (in picometers) of a hydrogen atom traveling at 430 m/sm/s. Express your answer using three significant figures.
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