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Heat and Thermodynamics question

2015 · Shift 0 · Q62

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JEE Main
Physics
Heat and Thermodynamics
2015 · Shift 0 · Q62

Heat and Thermodynamics question

2015 · Shift 0 · Q62

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1

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 \over V}\, \propto \,{T^4}

and pressure

p = {1 \over 3}\left( {{U \over V}} \right)

. If the shell now undergoes an adiabatic expansion the relation between

T

and

R

is:

A
$T\, \propto {1 \over R}$
B
$T\, \propto {1 \over {{R^3}}}$
C
$T\, \propto \,{e^{ - R}}$
D
$T\, \propto \,{e^{ - 3R}}$

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