On observing light from three different stars textP , textQ and textR , it was found that intensity of violet colour is maximum in the spectrum of textP , the intensity of green colour is maximum in the spectrum of textR and the intensity of red colour is maximum in the spectrum of textQ . If Tp, TQ and TR are the respective absolute temperatures of textP , textQ and textR , then it can be concluded from the above observations that :

Question

On observing light from three different stars textP , textQ and textR , it was found that intensity of violet colour is maximum in the spectrum of textP , the intensity of green colour is maximum in the spectrum of textR and the intensity of red colour is maximum in the spectrum of textQ . If Tp, TQ and TR are the respective absolute temperatures of textP , textQ and textR , then it can be concluded from the above observations that : (A) TP>TQ>TR (B) TP>TR>TQ (C) TP < TR < TQ (D) TP < TQ < TR

Tardigrade Admin · Accepted Answer

From Wein's Displacement law, λ mT=constant ⇒ λ m propto (1/T) From the light spectrum, ((λ )m)P < ((λ )m)R < ((λ )m)Q (as λ textRed > λ textGreen > λ textViolet ) Hence, TP>TR>TQ

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

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

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

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

From Wein's Displacement law,
$λ_{m} T = co n s t an t \Rightarrow λ_{m} \propto \frac{1}{T}$
From the light spectrum,
$((λ)_{m})_{P} < ((λ)_{m})_{R} < ((λ)_{m})_{Q}$ (as $λ_{Red} > λ_{Green} > λ_{Violet}$ )
Hence,
$T_{P} > T_{R} > T_{Q}$

TP​>TQ​>TR​

TP​>TR​>TQ​

TP​<TR​<TQ​

TP​<TQ​<TR​

From Wein's Displacement law, λm​T=constant⇒λm​∝T1​ From the light spectrum, ((λ)m​)P​<((λ)m​)R​<((λ)m​)Q​ (as λRed​>λGreen​>λViolet​ ) Hence, TP​>TR​>TQ​

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

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

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

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

From Wein's Displacement law,
$λ_{m} T = co n s t an t \Rightarrow λ_{m} \propto \frac{1}{T}$
From the light spectrum,
$((λ)_{m})_{P} < ((λ)_{m})_{R} < ((λ)_{m})_{Q}$ (as $λ_{Red} > λ_{Green} > λ_{Violet}$ )
Hence,
$T_{P} > T_{R} > T_{Q}$