Physics for Scientists and Engineers with Modern Physics
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, Problem 10P
To determine

To show that the law of Planck’s radiation reduced to Rayleigh-Jeans law for long wavelengths.

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Show that at long wavelengths, Planck’s radiation law reduces to the Rayleigh–Jeans law.
Calculate the de Broglie wavelength of a proton moving at (a) 2.00 × 104 m/s and (b) 2.00 × 107 m/s
For the thermal radiation from an ideal blackbody radiator with a surface temperature of 2000 K, let Ic represent the intensity per unit wavelength according to the classical expression for the spectral radiancy and IP represent the corresponding intensity per unit wavelength according to the Planck expression.What is the ratio Ic/IP for a wavelength of (a) 400 nm (at the blue end of the visible spectrum) and (b) 200 mm (in the far infrared)? (c) Does the classical expression agree with the Planck expression in the shorter wavelength range or the longer wavelength range?
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