MHT CET · Physics · Thermal Properties of Matter
If the temperature of back body is doubled, the frequency at which the spectral intensity becomes maximum, will be
- A unchanged
- B four times
- C doubled
- D halved
Answer & Solution
Correct Answer
(C) doubled
Step-by-step Solution
Detailed explanation
According to the Wein's displacement law:
\(\lambda_m \propto \frac{1}{T}\)
And the relation between wavelength and frequency is:
\(\begin{aligned} & \lambda \propto \frac{1}{f} \\ & \Rightarrow f \propto T\end{aligned}\)
Thus, if \(T\) is doubled, the frequency at which the spectral intensity becomes maximum \(f\) is also doubled.
\(\lambda_m \propto \frac{1}{T}\)
And the relation between wavelength and frequency is:
\(\begin{aligned} & \lambda \propto \frac{1}{f} \\ & \Rightarrow f \propto T\end{aligned}\)
Thus, if \(T\) is doubled, the frequency at which the spectral intensity becomes maximum \(f\) is also doubled.
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