The energy spectrum f a black body exhibits a maximum around a wavelength `lamda_0`. The temperature of the black body is now changed such that the energy is maximum around a wavelength `3 lamda_0//4`. The power radiated by the black body will now increase by a factor of

Options

A. 256/81
B. 64/27
C. 16/9
D. `4//3`

Answer

A

Explanation

From Wien 's Law : `lambda_(m)T="Constant"rArr(T_(2))/(T_(1))=(lamda_(1))/(lamda_(2))=(lamda_(0))/(3lamda_(0)//4)=(4)/(3)`
From Stefan 's law : `(E_(2))/(E_(1))=((T_(2))/(T_(1)))^(4)=(256)/(81)`