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JEE Main & Advanced Physics Transmission of Heat Question Bank Radiation Wein's law

  • question_answer
    The maximum energy in the thermal radiation from a hot source  occurs at a wavelength of \[11\times {{10}^{-5}}cm\]. According to Wein's law, the temperature of the source (on Kelvin scale) will be \[n\] times the temperature of another source (on Kelvin scale) for which the wavelength at maximum energy is \[5.5\times {{10}^{-5}}cm\].  The value \[n\] is                                            [CPMT 1991]

    A)            2    

    B)            4

    C)            \[\frac{1}{2}\]                      

    D)            1

    Correct Answer: C

    Solution :

               \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{{{\lambda }_{{{m}_{2}}}}}{{{\lambda }_{{{m}_{1}}}}}=\frac{5.5\times {{10}^{5}}}{11\times {{10}^{5}}}=\frac{1}{2}\] Þ \[n=\frac{1}{2}\].


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