JEE Advanced 2010 Physics question

PhysicsThermal Properties of MatterJEE Advanced 2010

Two spherical bodies A (radius 6 cm) and B (radius 18 cm) are at temperatures and , respectively. The maximum intensity in the emission spectrum of A is at 500 nm and in that of B is at 1500 nm. Considering them to be black bodies, what will be the ratio of the rate of total energy radiated by A to that of B ?

Answer: 9

Solution

By Wien's displacement law, constant, so . By Stefan's law, the rate of energy radiated by a black body

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Question ID VK-025811