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Wien's Displacement Law

Wien's displa...

Question

Wien's displacement law fails at :

A

low temperature

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B

high temperature

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C

short wavelength

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D

long wavelength

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Solution

The correct option is C long wavelength
According to wein's displacement law there is inverse relation between $λ_{m a x}$ of radiation emitted by black body and its temperature
$λ_{m a x} α \frac{1}{T}$
For every high wavelength, temperature should be very low, At very low temperature we cannot obtain continuous wein's curve, even for a black body.
So Wein's displacement law fails at long wavelength.

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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

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