Work, Power and EnergyHard

Question

The power radiated by a black body is P and it radiates maximum energy at wavelength λ0. If the temperature of the black body is now changed so
that it radiates maximum energy at wavelength 34 λ0, the power radiated by it becomes nP. The value of n is :-

Options

A.

34

B.

43

C.

25681

D.

81256

Solution

P =σAT4⇒ P∝T4
According to Wein's law T∝1λm
⇒P∝1λm4⇒P2P1=λm1λm2⇒P2P1=λo34λo4⇒nPP=25681⇒n25681

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