Question

Which of the following graphs correctly represents the variation of $\log {\lambda }_m$ with $\log T$?
[${\lambda }_m$ is the wavelength corresponding to maximum intensity of radiation and $T$ represents absolute temperature.]

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

According to Wien's displacement law,
${\lambda }_{m}T=b$
Taking logarithm on both sides, we get
$\log {\lambda }_m+\log T=\log b$
$\Rightarrow \log {\lambda }_m=-\log T+\log b$
Comparing this with $Y=mX+c$
we can conclude that the graph of $\log {\lambda }_m$ vs $\log T$ is as shown below.


Thus, option (b) is the correct answer.