Thermal Properties of Matter - Result Question 32

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

[2004]

(a) $\lambda_m \propto T^{-1}$

(b) $\lambda_m \propto T^{4}$

(c) $\lambda_m$ is independent of $T$

(d) $\lambda_m \propto T$

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Answer:

Correct Answer: 33. (a)

Solution:

  1. (a) From Wein’s displacement law

$\lambda_m T=$ constant

$\Rightarrow \lambda_m \propto T^{-1}$