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(C) According to Wien's displacement law,the wavelength corresponding to maximum energy emission is inversely proportional to the absolute temperature

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(C) According to Wien's displacement law,the wavelength corresponding to maximum energy emission is inversely proportional to the absolute temperature: $\lambda_m \propto \frac{1}{T}$.Since frequency $
u$ is related to wavelength $\lambda$ by $
u = \frac{c}{\lambda}$,we have $
u_m \propto T$.This implies that as the temperature $T$ of the black body increases,the frequency $
u_m$ corresponding to the maximum energy emission also increases.Looking at the provided graphs,as the temperature increases from $1500 \ K$ to $2500 \ K$ to $3500 \ K$,the peak of the curve should shift towards higher frequencies (to the right).Graph $(c)$ correctly depicts this behavior,where the peak frequency increases with increasing temperature.

The following graph shows the correct variation in the intensity of heat radiations emitted by a black body with respect to frequency at different fixed temperatures. Identify the correct graph.

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