JEE Main & Advanced AIEEE Paper (Held On 11 May 2011)

  • question_answer
    The frequency of light emitted for the transition n = 4 to n = 2 of\[H{{e}^{+}}\] is equal to the transition in H atom corresponding to which of the following?     AIEEE  Solved  Paper (Held On 11 May  2011)

    A)  n = 2 to n = 1

    B)  n = 3 to n = 2      

    C)  n = 4 to n = 3

    D)  n = 3 to n = 1

    Correct Answer: A

    Solution :

                                    \[hv=\Delta E=13.6{{z}^{2}}\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\]                 \[{{v}_{He+}}={{v}_{H}}\times {{z}^{2}}\left( \frac{1}{{{\left( \frac{{{n}_{1}}}{2} \right)}^{2}}}-\frac{1}{{{\left( \frac{{{n}_{2}}}{2} \right)}^{2}}} \right)\]                               \[={{v}_{H}}\left( \frac{1}{{{\left( \frac{2}{2} \right)}^{2}}}-\frac{1}{{{\left( \frac{4}{2} \right)}^{2}}} \right)\] For H-atom\[{{n}_{1}}=1,{{n}_{2}}=2\]


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