Q.3:Consider photons contained in a three-dimensional cavity of unit volume. The density of states for the photons is given by D(E)dƐ : %3D a) Show that the number of thermally excited photons is given by the expression N =2.404 (k,T)' %3D b) Suppose that the number of photons N in the universe is constant, at a concentration of 1026 m³. Find the critical Te such that Nex=N. x dx = 2.404 e-1 Note: You are given that %3D

Modern Physics
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ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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Chapter7: Tunneling Phenomena
Section: Chapter Questions
Problem 16P
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Q.3:Consider photons contained in a three-dimensional cavity of unit volume. The density of
states for the photons is given by
D(E)dE
dɛ
%3!
a) Show that the number of thermally excited photons is given by the expression
V(k,T)
N =2.404-
b) Suppose that the number of photons N in the universe is constant, at a concentration of 1026 m.
Find the critical Te such that Ne=N.
Note: You are given that
dx = 2.404
e -1
Transcribed Image Text:Q.3:Consider photons contained in a three-dimensional cavity of unit volume. The density of states for the photons is given by D(E)dE dɛ %3! a) Show that the number of thermally excited photons is given by the expression V(k,T) N =2.404- b) Suppose that the number of photons N in the universe is constant, at a concentration of 1026 m. Find the critical Te such that Ne=N. Note: You are given that dx = 2.404 e -1
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