On observing light from three different stars | vedclass

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(A) According to $Wien's$ displacement law, the product of the wavelength corresponding to maximum intensity $(\lambda_m)$ and the absolute temperatur

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$T_P > T_R > T_Q$

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(A) According to $Wien's$ displacement law, the product of the wavelength corresponding to maximum intensity $(\lambda_m)$ and the absolute temperature $(T)$ is constant:$\lambda_m T = 	ext{constant} \implies T \propto \frac{1}{\lambda_m}$For star $P$, the intensity of violet colour is maximum. Since violet has the shortest wavelength among the three $(\lambda_V For star $R$, the intensity of green colour is maximum. Green light has a wavelength between violet and red $(\lambda_V For star $Q$, the intensity of red colour is maximum. Since red has the longest wavelength among the three, star $Q$ must have the lowest temperature.Comparing the wavelengths: $\lambda_V Therefore, the temperatures follow the inverse order: $T_P > T_R > T_Q$.

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