J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    What is the energy (in eV) required to excite  the electron from\[n=1\]to\[n=2\]state in hydrogen atom? (\[n=\]principal quantum number)

    A)  13.6         

    B)  3.4

    C)  17.0         

    D)  10.2

    Correct Answer: D

    Solution :

     \[\Delta \Epsilon =13.6\,{{Z}^{2}}\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\] \[=13.6\times {{(1)}^{2}}\left( \frac{1}{1}-\frac{1}{{{2}^{2}}} \right)\] \[=13.6\left( 1-\frac{1}{4} \right)\] \[=13.6\times \frac{3}{4}=10.2\,eV\]


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