A spherical black body with a radius of 12 cm radiates 450 watt power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be
Text Solution
Verified by ExpertsThe correct answer is:
D
The energy radiated per second by a black body is given by Stefan's law,
, where A is the surface area of the black body.

Since the black body is a sphere,
Case (i)

Case (ii)
… .(ii)
Dividing Eq. (ii) by Eq. (i), we get


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