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Wien's Displacement Law - Practice Questions & MCQ

Updated on Sep 18, 2023 18:34 AM | #JEE Main

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  • 4 Questions around this concept.

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The earth radiates in the infra­red region of the spectrum. The wavelength of the maximum intensity of the spectrum is correctly given by the :

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Wien's displacement law

Wien's displacement law states that the wavelength (i.e $\lambda_{\text {max }}$ ) for which the emissive power of a black body is maximum is inversely proportional to the absolute temperature ( T ) of the black body.

Or Mathematically we can write that

$$
\lambda_{\max } * T=b=\mathrm{constant}
$$


Where $\mathbf{b}$ is a constant of proportionality which is known as Wien's displacement constant.
Value of b is given as $b=2.89 * 10^{-3} \mathrm{mK}$

With the help of this law, we can say that 

As the temperature of the body increases, the wavelength at which the spectral intensity (E_{\lambda }) is maximum shifts towards left, as shown in the below figure.

I.e

If $T_1<T_2<T_3$
Then $\lambda_{m_1}>\lambda_{m_2}>\lambda_{m_3}$

  • Wien's displacement law is useful for determining the temperatures of hot radiant objects such as stars, and it is also useful for a determination of the temperature of any radiant object whose temperature is far above that of its surroundings.

 

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Wien's displacement law

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