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The power radiated by a black body is P,...

The power radiated by a black body is P, and it radiates maximum energy around the wavelength `lambda_(0)`. If the temperature of the black body is now changed so that it radiates maximum energy around a wavelength `3lambda_(0)//4`, the power radiated by it will increase by a factor of

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Using Stefan's law wein's displacement law we have
`(P_(1))/(P_(2)) =((T_(1))/(T_(2)))^(4) =((lambda_(m2))/(lambda_(m1)))^(4)`
`rArr (P_(1))/(P_(2)) =((3 lambda //4)/(lambda))^(4)`
`rArr P_(2) =P_(1)((4)/(3))^(4) =(256)/(81)P_(1)`
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