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The rate of dissipation of heat by a black body at temperature T is Q. What will be the rate of dissipation of heat by another body at temperature 2T and emissivity 0.25?

a
16Q
b
4Q
c
8Q
d
4.5Q

detailed solution

Correct option is B

By Stefan's law   Q = σT4The rate of dissipation of heat by a body emissivity e is given be   Q' = eσT'4There T' = 2T, e = 0.25∴ Q = 0.25×σ(2T)4           = 4σT4 = 4Q

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