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Wien's displacement law

The Wien’s di...

Question

The Wien’s displacement law express relation between

A

Frequency and temperature

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B

Temperature and amplitude

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C

Wavelength and radiating power of black body

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D

Wavelength corresponding to maximum intensity and temperature

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Solution

The correct option is D Wavelength corresponding to maximum intensity and temperature
Wavelength corresponding to maximum intensity and temperature

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

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. Like the solar spectrum the spectra of stars show a continuous spectrum on which dark aborption lines are superimposed. The inner layer (called the photosphere) of the star emits radiations of all wavelengthts, producing a continuous spectrum. When these radiations pass through the outer, relatively cooler, layer of the star, the radiations of certain wavelengths are selectively absorbed by this layer. This explains the dark lines in the spectrum of a star. The dark lines are charactreristic 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 Wiens displacement law which states that

λ_{m}

=

b where 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 .
The dark lines in the solar spectrum are due to the

Q. Which of the following graphs correctly represents the variation of

log λ_{m}

log T

λ_{m}

is the wavelength corresponding to maximum intensity of radiation and

T

represents absolute temperature.]

Q. Which of the following graphs correctly represents the variation of

log λ_{m}

log T

λ_{m}

is the wavelength corresponding to maximum intensity of radiation and

T

represents absolute temperature.]

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