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

  • question_answer
    A black body at 200 K is found to exit maximum energy at a wavelength of \[14\mu m\]. When its temperature is raised to 1000K, the wavelength at which maximum energy is emitted is               [RPMT 1998; MP PET 1991; BVP 2003]

    A)            \[14\mu m\]                        

    B)            \[70\mu F\]

    C)            \[2.8\mu m\]

    D)            \[2.8mm\]

    Correct Answer: C

    Solution :

               \[{{\lambda }_{{{m}_{1}}}}{{T}_{1}}={{\lambda }_{{{m}_{2}}}}{{T}_{2}}\Rightarrow {{\lambda }_{{{m}_{2}}}}=\frac{{{\lambda }_{{{m}_{1}}}}{{T}_{1}}}{{{T}_{2}}}=\frac{14\times 200}{1000}=2.8\ \mu m\]        


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