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Question

# Distribution of intensity of emitted energy as a function of wavelength is shown in the figure. Point A corresponds to the peak wavelength emitted by a body at certain temperature. Find the correct option when the temperature of the body increases.

A
Intensity of A increases, wavelength decreases
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B
Intensity of A decreases, wavelength decreases
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C
Intensity of A increases, wavelength increases
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D
Intensity of A decreases, wavelength increases
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Solution

## The correct option is A Intensity of A increases, wavelength decreasesWe know from Wien's Displacement Law, λmT=b=constant. ⇒λm ∝ 1T As temperature increases, wavelength decreases. Also, Intensity, I=EtA=hcλtA ⇒I ∝ 1λ As wavelength decreases, Intensity increases. Hence, as temperature increases, wavelength decreases and intensity increases. Option (a) is correct.

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