Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 39.5, Problem 39.6QQ
To determine
Which quantities are same for the two particles?
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A quantum particle of mass m is placed in a one-dimensional box of length L. Assume the box is so small that the particle’s motion is relativistic and K = p2/2m is not valid. (a) Derive an expression for the kinetic energy levels of theparticle. (b) Assume the particle is an electron in a box of length L = 1.00 × 10-12 m. Find its lowest possible kinetic energy. (c) By what percent is the nonrelativistic equation in error?
During a certain experiment, the de Broglie wavelength of an electron is 440 nm = 4.4 x 10-7 m, which is the same as the wavelength of violet light. How fast (in m/s) is the electron moving?
m/s
An electron with a mass of 9.11 x 10–31 kg is accelerated to 25% the speed of light (c = 3.00 x 108 m/s). What is the de Broglie wavelength in picometers (pm) for this electron?
Chapter 39 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 39.1 - Prob. 39.1QQCh. 39.2 - Prob. 39.2QQCh. 39.2 - Prob. 39.3QQCh. 39.2 - Prob. 39.4QQCh. 39.3 - Prob. 39.5QQCh. 39.5 - Prob. 39.6QQCh. 39.6 - Prob. 39.7QQCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3P
Ch. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 35PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40APCh. 39 - Prob. 41APCh. 39 - Prob. 43APCh. 39 - Prob. 44APCh. 39 - Prob. 45APCh. 39 - Prob. 46APCh. 39 - Prob. 47CPCh. 39 - Prob. 48CPCh. 39 - Prob. 49CPCh. 39 - Prob. 50CP
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- An electron is moving at 3.5 x 106 m/s. A photon of what wavelength would have the same momentum?arrow_forwardQ. 22 : The de-Broglie wavelength of waves associated with an a-particle of momentum 52.96 x 10- 21 kg m/s is, (a) . 2.250 × 10-14 m (b) 1.251 x 10 11 m (c) 1.251 x 10-14 m (d) 2.250 x 10-11 marrow_forwardThe velocity (m/s) of an electron with a de Broglie wavelength of 1.679 nm is:arrow_forward
- An electron is accelerated from rest through a potential difference of 3.19 x 102 V. Determine the following for the electron. (a) speed (ignore relativistic effects) m/s (b) de Broglie wavelength marrow_forwardWhat is the wavelength of (a) a photon with energy 1.00 eV, (b) an electron with energy 1.00 eV, (c) a photon of energy 1.00 GeV, and (d) an electron with energy 1.00 GeV?arrow_forwarda. The kinetic energy of an electron is (? + 1.5)keV. Find the de Broglie wavelength and momentum of the electron.arrow_forward
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