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Wien's Displacement Law

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Question

According to Wien's displacement law wavelength corresponding to maximum intensity decreases when the temperature of blackbody increases.

A

False

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B

True

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Solution

The correct option is B True

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Q. During blackbody radiation at a constant wavelength, intensity of radiation ___________ with increase in temperature.

Q. Assertion :When temperature of a body is increased, in radiant energy, number of low wavelength photons get increased. Reason: According to Wien's displacement law

λ_{m} \propto \frac{1}{T}

Q. Like the solar spectrum the spectra of stars show a continuous spectrum on which dark absorption lines are superimposed. The inner layer (called the photosphere) of the star emits radiations of all wavelengths, producing a continuous spectrum. When these radiations pass through the outer, relatively cooler, layer of the star, the radiation of certain wavelengths are selectively absorbed by this layer. This explains the dark lines in thespectrum of a star. The dark lines are characteristic of the substances present in the outer layer of the star.The surface temperature

T

of a star can be estimated by measuring the wavelengths

λ_{m}

at which the intensity of the emitted radiation is maximum and then using Wien's displacement law which states that

λ_{m}

=

b

b

is a constant called Wiens constant and the above relation is called Wiens Displacement Law which states that as the temperature increases, the maximum intensity of emission shifts (or is displaced) towards the shorter wavelengths. The value of constant b has been found experimentally to be 2.89 x 10

^{- 3}

mK .
In Wiens displacement law the SI unit of Wiens constant

b

Q. Assertion :As the temperature of the black body increases, the wavelength at which the spectral intensity

(E_{λ})

is maximum decreases. Reason: The wavelength at which the spectral intensity will be maximum for a black body is proportional to the fourth power of its absolute temperature.

Q. When the temperature of a black body increase by

0.1 %

, the wavelength corresponding to maximum emission changes by 0.13

μ

m. The initial wavelength corresponding to maximum emission is

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