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A sphere P (emissivity=1) of radius 2R a...

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.

Text Solution

Verified by Experts

The correct Answer is:
5
In equilibrium power released = power absorbed
or `4pi(2R)^(2)(1)sigmaT^(4)=(1)/(32)4pi(R)^(2)((1)/(2))sigma 200^(4)`
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