(d) volume (e) Show that the total number of photons per unit at temperature Tis kT N' = 8π hc. where x = E/KT. Taking the value of the integral in (c) to be about 2.404, determine how many photons per cubic centimeter are there in a cavity filled with radiation at T = 300 K. Find the energy at which the maximum (f) radiation is emitted. 3 ∞ 0 x² 1 ex. - 1 dx

(d) volume (e) Show that the total number of photons per unit at temperature Tis kT N' = 8π hc. where x = E/KT. Taking the value of the integral in (c) to be about 2.404, determine how many photons per cubic centimeter are there in a cavity filled with radiation at T = 300 K. Find the energy at which the maximum (f) radiation is emitted. 3 ∞ 0 x² 1 ex. - 1 dx