The power radiated by a black body is P and it radiates maximum energy at wavelength` lambda_(0)`.If the temperature of the black body is now changed, so that it radiates maximum energy at wavelength `(3)/(4) lambda_(0)`, the power radiated by it becomes nP.The value of n is

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)`