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Wave Optics

Question
CBSEENPH12039796

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 TP, TQ and TR are the respective absolute temperature of P, Q and R, then  it can conclude from the above observations that

  • TP > TQ>TR

  • TP > TR> TQ

  • TP > TR < TQ

  • TP < TQ < TR

Solution

B.

TP > TR> TQ

We know from Weins displacement law
space space space space space space space space space space space space space straight lambda subscript straight m straight T space equals space constant
So comma space space space space space space space space straight T proportional to space 1 over straight lambda subscript straight m
As comma space space space space space space space space straight lambda subscript straight r space greater than space straight lambda subscript straight g space greater than straight lambda subscript straight v
So comma space space space space space space space space straight T subscript straight r space less than space straight T subscript straight g space less than space straight T subscript straight v
Given space straight P rightwards arrow space straight V subscript max comma space straight Q space rightwards arrow space straight r subscript max comma space straight R rightwards arrow straight g subscript max
Hence comma space straight T subscript straight Q space less than space straight T subscript straight R space less than space straight T subscript straight p
straight i. straight e space straight T subscript straight P space greater than space straight T subscript straight R space greater than space straight T subscript straight Q

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