RAJASTHAN PMT Rajasthan - PMT Solved Paper-2004

  • question_answer
    When an electron in an hydrogen atom makes a transition from first Bohr orbit to second Bohr orbit, how much energy it absorbs?

    A)  3.4 eV                                 

    B)  10.2 eV

    C)  13.6 eV               

    D)         1.51 eV

    Correct Answer: B

    Solution :

    The energy of electron in \[{{n}^{th}}\] bohr orbit                                                            \[E=-\frac{13.6}{{{n}^{2}}}\] Energy absorbed by electron in transition from                      \[n=1\to n=2\] \[\therefore \]  \[E-=\frac{13.6}{{{2}^{2}}-\left( \frac{13.6}{{{1}^{2}}} \right)}\]                                       \[=-\frac{13.6}{4}+\frac{13.6}{1}\]                                       \[\begin{align}   & =-3.4+13.6 \\  & =10.2\,eV \\ \end{align}\]


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