On observing light from three different stars P, Q and R, it was found that the intensity of violet colour is maximum in the spectrum of P, the intensity of green colour is maximum in the spectrum of R and the intensity of red colour is maximum in the spectrum of Q. If T_P, T_Q and T_R are the resp…

Question

On observing light from three different stars P, Q and R, it was found that the intensity of violet colour is maximum in the spectrum of P, the intensity of green colour is maximum in the spectrum of R and the intensity of red colour is maximum in the spectrum of Q. If T_P, T_Q and T_R are the respective absolute temperatures of P, Q and R, then it can be concluded from the above observations that

Accepted Answer

(4) T_P>T_R>T_Q. Given: peak colours violet for P, green for R and red for Q. Idea: Wien's displacement law, λₘ T=constant, so the star whose peak sits at the shortest wavelength is the hottest. In the visible spectrum λᵥᵢₒₗₑₜ<λ_green<λ_red. Therefore λ_P<λ_R<λ_Q. Inverting through T=b/(λₘ) gives T_P>T_R>T_Q.

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