ThermodynamicsHard
Question
The plots of intensity versus wavelength for three black bodies at temperature T1, T2 and T3 respectively are as shown. Their temperatures are such that
Options
A.T1 > T2 > T3
B.T1 > T3 > T2
C.T2 > T3 > T1
D.T3 > T2 > T1
Solution
Wien′s displacement law for a perfectly black body is
λmT = constant = Wien′s constant b
Here, λm is the minimum wavelength corresponding to maximum intensity I.
or λm ∝
From the figure (λm)1 < (λm)3 < (λm)2
Therefore, T1 > T3 > T2
λmT = constant = Wien′s constant b
Here, λm is the minimum wavelength corresponding to maximum intensity I.
or λm ∝
From the figure (λm)1 < (λm)3 < (λm)2
Therefore, T1 > T3 > T2
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