CET Karnataka Medical CET - Karnataka Medical Solved Paper-2002

  • question_answer
    In the Bohr model of the hydrogen atom, let R, V and E represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantity is proportional to the quantum number n?

    A)  E / V

    B)  R / E

    C)  V R

    D)  R E

    Correct Answer: C

    Solution :

     \[R=\frac{{{\varepsilon }_{0}}{{n}^{2}}{{h}^{2}}}{\pi \,m\,z\,{{e}^{2}}}\] \[V=\frac{z{{e}^{2}}}{2{{\varepsilon }_{0}}nh}\] \[E=-\frac{m\,{{z}^{2}}{{e}^{4}}}{8\varepsilon _{0}^{2}{{n}^{2}}{{h}^{2}}}\] \[V/E\propto n\] \[RV\propto n\]


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