Heat and Thermal ExpansionHard

Question

A block body emits at the rate P when its temperature is T. At this temperature the wavelength at which the radiation has maximum intensity is λ0. If at another temperature T′ the power radiated is ′P′ and wavelength at maximum intensity is then :-

Options

A.P′ T′ = 32 PT
B.P′ T′ = 16 PT
C.P′ T′ = 8 PT
D.P′ T′ = 4 PT

Solution

For black body
λ0T = T′ ⇒ T1 = 2T P′T′ = (16P) (2T) = 32PT

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