MHT CET · Physics · Thermal Properties of Matter
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?
- A straight line D
- B curve C
- C straight line B
- D curve \(A\)
Answer & Solution
Correct Answer
(C) straight line B
Step-by-step Solution
Detailed explanation
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.
\(\begin{aligned}
& \lambda_m \propto \frac{1}{T} \text { or } \frac{c}{\nu_m} \propto \frac{1}{T} \\
& \nu_m \propto T
\end{aligned}\)
Hence, curve \(B\) represents the correct variation.
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