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If the temperature of back body is doubled, the frequency at which the spectral intensity becomes maximum, will be
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The correct answer is:
doubled
According to the Wein's displacement law:
$\lambda_m \propto \frac{1}{T}$
And the relation between wavelength and frequency is:
$\begin{aligned} & \lambda \propto \frac{1}{f} \\ & \Rightarrow f \propto T\end{aligned}$
Thus, if $T$ is doubled, the frequency at which the spectral intensity becomes maximum $f$ is also doubled.
$\lambda_m \propto \frac{1}{T}$
And the relation between wavelength and frequency is:
$\begin{aligned} & \lambda \propto \frac{1}{f} \\ & \Rightarrow f \propto T\end{aligned}$
Thus, if $T$ is doubled, the frequency at which the spectral intensity becomes maximum $f$ is also doubled.
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