If $\lambda$ denotes the wavelength at which the radiative emission from a black body at a temperature $T$ is maximum, then

• Correct answer
  A

  $\lambda \propto T^{-1}$
• B

  $\lambda \propto T^4$
• C

  is independent of $T$
• D

  $\lambda \propto T$

Solution

According to Wien's displacement law,
where, $\lambda_m=$ wavelength corresponding to maximum radiation of energy from black body, $b=$ Wien's constant and $T=$ temperature. $\therefore$ From Eq. (i), we get $\lambda_m \propto \frac{1}{T} \Rightarrow \lambda_m \propto T^{-1}$

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