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  4. The plots of intensity versus wavelength for three black bodies at temperatures T1,T2 and T3respectively are as shown. Their temperatures are such that

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Q. The plots of intensity versus wavelength for three black bodies at temperatures $T_1,T_2$ and $ T_3$respectively are as shown. Their temperatures are such thatPhysics Question Image

IIT JEEIIT JEE 2000Thermodynamics

Solution:

Wien's displacement law for a perfectly black body is
$\lambda_m T =$ constant = Wien's constant b
Here, $\lambda_m$ is the minimum wavelength corresponding to maximum intensity I.
$or \, \, \, \, \, \, \, \, \, \, \, \lambda_m = \frac{T}{/}$
From the figure $(\lambda_m )_1 < (\lambda_m)_3 < (\lambda)_2$
Therefore $ \, \, \, \, \, T_1 > T_3 > T_2$