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 $\frac{3}{4}{\lambda }_0$, the power radiated by it becomes nP. The value of n is

• Correct answer
  A

  $\frac{256}{81}$
• B

  $\frac{4}{3}$
• C

  $\frac{3}{4}$
• D

  $\frac{81}{256}$

Hence, the correct answer is option: 'A'.