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Q. Which one of the following is $v_{m}-T$ graph for perfectly black body? $v_{m}$ is the frequency of radiation with maximum intensity and $T$ is the absolute temperature.Physics Question Image

Thermal Properties of Matter

Solution:

According to Wien's displacement law
$\lambda_{m} T=b$
In terms of frequency, $\frac{c}{v_{m}} T=b$
or $v_{m}=\frac{c}{b} T$
Hence, the $v_{m}-T$ graph is a straight line as shown by curve $C$.