JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        The ratio of areas between the electron orbits for the first excited state to the ground state for hydrogen atom is

    A)  \[2:1\]                                 

    B)  \[4:1\]

    C)  \[8:1\]                                 

    D)  \[16:1\]

    Correct Answer: D

    Solution :

                    \[{{R}_{n}}\propto {{n}^{2}}\] \[\Rightarrow \]               \[{{A}_{n}}\propto {{n}^{2}}\] Hence,    \[\frac{{{A}_{2}}}{{{A}_{1}}}=\frac{n_{2}^{4}}{n_{1}^{4}}\] \[\Rightarrow \]               \[\frac{{{A}_{2}}}{{{A}_{1}}}=\frac{{{(2)}^{4}}}{{{(1)}^{4}}}=\frac{16}{1}\]


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