JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    According to Bohr's theory the radius of electron in an orbit described by principal quantum number n and atomic number Z is proportional to                                                           [CPMT 1988]

    A)            \[{{Z}^{2}}{{n}^{2}}\]        

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

    C)            \[\frac{{{Z}^{2}}}{n}\]      

    D)            \[\frac{{{n}^{2}}}{Z}\]

    Correct Answer: D

    Solution :

               \[r=\frac{{{\varepsilon }_{0}}{{n}^{2}}{{h}^{2}}}{\pi Zm{{e}^{2}}};\ \ \therefore r\propto \frac{{{n}^{2}}}{Z}\]


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