JEE Main & Advanced JEE Main Paper (Held On 16 April 2018)

  • question_answer
    Both the nucleus and the atom of some element are in their respective first excited states. They get de-excited by emitting photons of wavelengths\[{{\lambda }_{N}},{{\lambda }_{A}}\]respectively. The ratio \[\frac{\lambda N}{\lambda A}\] is closest to [JEE Main 16-4-2018]

    A) \[{{10}^{-6}}\]                                

    B)  10 

    C) \[{{10}^{-1}}\]                                

    D) \[{{10}^{-10}}\]

    Correct Answer: A

    Solution :

     \[\frac{{{E}_{A}}}{{{E}_{B}}}=\frac{\frac{hc}{{{\lambda }_{A}}}}{\frac{hc}{{{\lambda }_{N}}}}\] So, \[\frac{{{E}_{A}}}{{{E}_{N}}}=\frac{{{\lambda }_{N}}}{{{\lambda }_{A}}}\] As order of\[{{E}_{A}}=ev\] and order of \[{{E}_{N}}=Mev\] \[\therefore \] \[\frac{{{\lambda }_{N}}}{{{\lambda }_{A}}}=\frac{1ev}{1Mev}=\frac{1}{{{10}^{6}}}={{10}^{-6}}\] So option A is correct Answer


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