The frequency ' $v_m$ ' corresponding to which the energy emitted by a black body is maximum may vary with…
The frequency ' $v_m$ ' corresponding to which the energy emitted by a black body is maximum may vary with the temperature ' $T$ ' of the body as shown by the curves ' $A$ ', ' $B$ ', ' $C$ ' and ' $D$ ' in the figure. Which one of these represents the correct variation?
straight line D
curve C
straight line B
curve $A$
Solution
According to Wien's displacement law,
$\begin{aligned}
& \lambda_m \propto \frac{1}{T} \text { or } \frac{c}{\nu_m} \propto \frac{1}{T} \\
& \nu_m \propto T
\end{aligned}$ Hence, curve $B$ represents the correct variation.
