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 respective absolute temperature of `P`, `Q` and `R`. then it can be concluded from the above observation that

Options

A. `T_(P)gtT_(R)gtT_(Q)`
B. `T_(P)ltT_(R)ltT_(Q)`
C. `T_(P)ltT_(Q)ltT_(R)`
D. `T_(P)gtT_(Q)gtT_(R)`

Answer

A

Explanation

From the visible spectrum, we find that `lamda_(V)ltlamda_(G)ltlamda_(R)`.
It is given that P `to` violet, R - Green and R - Q
`therefore(lamda_(m))_(P)lt(lamda_(m))_(R)lt(lamda_(m))_(Q)`
and from Wien's displacement law,
`lamda_(m)prop1/T" "thereforeT_(P)gtT_(R)gtT_(Q)" "` [Option (a)]