A sphere P (emissivity=1) of radius 2R and and another sphere Q(emissivity=1/2) of radius R are placed in vacuum at some distance threre are no other objects. The temperature of the sphere Q is maintained at 200 K by the means of a heater. A fraction 1/32 of the power emitted by the sphere Q falls on the sphere P. if the equilibrium temperature of the sphere P is 10 T kelvin find the value of T.

Explanation

In equilibrium power released `=` power absorbed
or `2pi(2R)^(2)(1)sigmaT^(4)=(1)/(32)4pi(R)^(2)((1)/(2))sigma200^(4)`