College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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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 nonrelativistic particle of mass m and charge q is accelerated from rest through a potential difference Δ V (a) Use conservation of energy to find a symbolic expression for the momentum of the particle in terms of m , q, and ΔV (b) Write a symbolic expression for the de Broglie wavelength using the result of part (a). (c) If an electron and proton go through the same potential difference but in opposite directions, which particle will have the shorter wavelength?
A nonrelativistic particle of mass m and charge q is accelerated from rest through a potential difference Delta V. (a) Use conservation of energy to find a symbolic expression for the momentum of the particle in terms of m, q, and DV. (b) Write a symbolic expression for the de Broglie wavelength using the result of part (a). (c) If an electron and proton go through the same potential difference but in opposite directions, which particle will have the shorter wavelength?
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.
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