Consider a spherical shell of radius R at temperature T. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume u= U/V α T^ 4 and pressure P = 1/3 x (U/V) If the shell now undergoes an adiabatic expansion the relation between T and R is - VgyanHub

Question:

Consider a spherical shell of radius R at temperature T. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume u= U/V α T⁴ and pressure P = 1/3 x (U/V) If the shell now undergoes an adiabatic expansion the relation between T and R is

Options :

(a) T α e^-R
(b) T α e^-3R
(c) T α 1/R
(d) T α 1/R^3

Answer :

(c) T α 1/R

Answer Steps :

step 1

step 2

step 3

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