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JEE Main & Advanced AIEEE Solved Paper-2013

  • question_answer
    In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number \[(n-1).\]If \[n>>1,\]the frequency of radiation emitted is proportional to:     AIEEE Solevd Paper-2013

    A) \[\frac{1}{n}\]  

    B)                        \[\frac{1}{{{n}^{2}}}\]                   

    C)        \[\frac{1}{{{n}^{3/2}}}\]               

    D)        \[\frac{1}{{{n}^{3}}}\]

    Correct Answer: D

    Solution :

    \[\] \[\frac{C}{\lambda }=RC\left( \frac{{{n}^{2}}-{{(n-1)}^{2}}}{(n-1){{n}^{2}}} \right)\] \[v=RC\left( \frac{2n-1}{{{(n-1)}^{2}}{{n}^{2}}} \right)\approx RC\left( \frac{2n}{{{n}^{4}}} \right)\] \[\] \[\]


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