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 colume 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 :

Answer»

`Tprope^(-3R)`
`Tprop(1)/(R )`
`Tprop(1)/(R^(3))`
`Tprope^(-R)`

Solution :`P=(1)/(3)((U)/(V))=1/3kT^(4)`. . . (i)
`PV=muRT`. . . (ii)
`(muRT)/(V)=(1)/(3)kT^(4)`
`rArrVpropT^(-3)`
`RPROP(1)/(T)`.
So correct is (b)


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