First slide

Radiation

Question

On observing light from three different stars P, Q and R, it was found that intensity of violet color is maximum in the spectrum of P, the intensity of green color is maximum in the spectrum of Rand the intensity of red color 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

Moderate

A

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

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

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

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

Solution

We know from Wien's displacement law, $λ_{m} T = constant$
So, $T \propto \frac{1}{λ_{m}}$
As, $λ_{r} > λ_{g} > λ_{v}$
So, $T_{r} < T_{g} < T_{v}$
Hence, $T_{Q} < T_{R} < T_{P}$
i.e., $T_{P} > T_{R} > T_{Q}$

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