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MHT CET 2024 (2 May, Shift 1) · Thermal Radiation: Black Body, Stefan & Wien

Thermal Radiation: Black Body, Stefan & Wien question from MHT CET 2024 (2 May, Shift 1)

Q67MHT CET 2024 · 2 MAY · SHIFT 1Medium

Thermal Radiation: Black Body, Stefan & Wien

The frequency ' $\nu_{\text{m}}$ ' corresponding to which the energy emitted by a black body is maximum may vary with the temperature ' $T$ ' of the body as shown by the curves ' A ', ' B ', ' C ' and ' D ' in the figure. Which one of these represents the correct variation?

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Answer: (c)

Wien's law: $\lambda_m T = b$ and $\nu_m = \frac{c}{\lambda_m}$ .
$\nu_m = \frac{c}{b}T \Rightarrow \nu_m \propto T$
The graph of $\nu_m$ against $T$ is a straight line through the origin.
So the answer is (c) straight line B.

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