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The energy spectrum of a black body exihibits maximum around a wavelength λo. The temperature of the black body is now changed such that the energy is maximum around a wavelength 3λo/4. The power radiated by the black body will now increase by a factor of

a
256/81
b
64/27
c
16/9
d
4/3

detailed solution

Correct option is A

According to Wien's displacement law, λm1T1=λm2T2∴ λ0T1=3λ0/4T2or       T1T2=34            ...(i)We know that    E1E2=T14T24∴   E2E1=T2T14        ....(ii)From eqns. (i) and (ii), We get            E2E1=434=25681

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