Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 5, Problem 32Q
To determine
The reason that a wavelength of
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1. Temperature of the Cosmic Microwave Background radiation (CMB) is
T= 2.725 K.
a) Assuming it has a Planck energy distribution, use Wien's Displacement
Law to find the maximum wavelength of the CMB (in metres).
b) What is the radiation energy density, u (measured in J/m³) of the CMB?
c) Maximum intensity of the CMB occurs at frequency vmax = 160 GHz.
Calculate energy (in Joules, J) of one photon at this frequency.
d) Using the results of (2) and (3), find the number of CMB photons per m3,
Nph •
What will be the energy associated with a blue photon (in
Joules), if the frequency of the blue light is 650 THz (Terahertz
(THz); 1 Tera – 1012y?
[Hint: Use Planck's cquation: E = hf to calculate the photon
energy! h - Planck's constant – 6,63 × 10-4 Js – 4.14 ×1015 eVs]
A. 650×1012 J
B. 6.5×10° J
C. 4.3x1015 J
D. 4.3×10-19 J
E. 4.3x1019 J
What is the rate of thermal radiation emitted from a star with a radius of 2.310 x 109 m anda surface temperature of 8,420 K? Assume that the spherical surface behaves as a blackbody radiator.[Surface Area of a sphere = 4rr?: Area of a circle = Mr? or (Tt/4)d21
Chapter 5 Solutions
Universe
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