Q110 / 200 · NEET 2004 · Physics

If $\lambda_m$ denotes the wavelength at which the radioactive emission from a black body at a temperature $T K$ is maximum, then:

  • A
    $\lambda_m \propto T^4$
  • B
    $\lambda_m$ is independent of $T$
  • C
    $\lambda_m \propto T$
  • Correct answer
    D
    $\lambda_m \propto T^{-1}$

Solution

According to Wein's displacement law $$ \begin{aligned} \lambda_m T & =\text { constant } \\ \Rightarrow \quad \lambda_n & \propto T^{-1} \end{aligned} $$

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

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