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    Wien's Displacement Law MCQ - Practice Questions with Answers

    Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

    Quick Facts

    • 7 Questions around this concept.

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    QuestionMEDIUM

    The power radiated by a black body is P and it radiates maximum energy at wavelength, $\lambda_o$. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $\frac{3}{4} \lambda_o$, the power radiated becomes $n P$. The value of ' $n$ ' is:

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    A piece of iron is heated in a flame. It first becomes dull red then becomes reddish yellow and finally turns to white hot. The correct explanation for the above observation is possible by using:

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    Three stars A, B, C have surface temperature $T_A, T_B, and  \ T_C$ respectively. Star A appears bluish, star B appears reddish anc star C yellowish. Hence

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    Concepts Covered - 0

    Wien’s displacement law

    Wien’s displacement law states that the wavelength (i.e \lambda _{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=constant

    Where 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} \ 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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