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 $\frac{3}{4} \lambda_D$, the power radiated by it becomes nP. The value of n is

Question

( A ) $\frac{81}{256}$
( B ) $\frac{256}{81}$
( C ) $\frac{4}{5}$
( D ) $\frac{3}{4}$