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  4. The frequency (.(ν)m.) corresponding to which energy emitted by a black body is maximum, may vary with temperature T of the body as shown in the figure. The curve representing the correct variation is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-jjenocmzzqnizl7t.jpg />

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Q. The frequency $\left(\right.\left(\nu\right)_{m}\left.\right)$ corresponding to which energy emitted by a black body is maximum, may vary with temperature $T$ of the body as shown in the figure. The curve representing the correct variation is
Question

NTA AbhyasNTA Abhyas 2022

Solution:

According to Wien's displacement law,
$\lambda _{m} \propto \frac{1}{T} \, or \, \frac{c}{\nu_{m}} \propto \frac{1}{T}$
$\nu_{m} \, \propto T$
Hence, curve $A$ represents the correct variation.