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On observing light from three different stars - P, Q and R, it was found that 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:

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$T_{P} > T_{Q} > T_{R}$

$T_{P} > T_{R} > T_{Q}$

$T_{P} < T_{R} < T_{Q}$

$T_{P} < T_{Q} < T_{R}$

answer is D.

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Detailed Solution

According to Wien's law,

$λ_{m} T = b \Rightarrow T \propto \frac{1}{λ_{m}}$

Since ${(λ_{m})}_{violet} < {(λ_{m})}_{green} < {(λ_{m})}_{red}$

, ${(λ_{m})}_{P} < {(λ_{m})}_{R} < {(λ_{m})}_{Q}$ , therefore, $T_{P} > T_{R} > T_{Q}$

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