(a) Show that the total number of photons per unit volume at temperature T is: N ∕ V = ( 8?(kT)3 ) ∕ (hc)3 × ∫0∞ (x2/ (ex-1)) dx (b) The value of the integral is about 2.404. How many photons per cubic centimeter are there in a cavity filled with radiation at T = 300 K? At T = 3K?

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(a) Show that the total number of photons per unit volume at temperature T is:

N ∕ V = ( 8?(kT)3 ) ∕ (hc)3 × ∫0 (x2/ (ex-1)) dx

(b) The value of the integral is about 2.404. How many photons per cubic centimeter are there in a cavity filled with radiation at T = 300 K? At T = 3K?

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