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 propT^4` and pressure `P=1/3(U/V)`. If the shell now undergoes an adiabatic expansion the relation between T and R is :

Options

A. `T prop 1/R`
B. `T prop 1/R^3`
C. `T porp e^(-R)`
D. `T prop e^(-3R)`

Answer

D