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JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    In the Bohr model of a hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton and the electron. If \[{{a}_{0}}\]is the radius of the ground state orbit, m is the mass, e is the charge on the electron and \[{{\varepsilon }_{0}}\]is the vacuum permittivity, the speed of the electron is [CBSE PMT 1998]

    A)            0    

    B)            \[_{7}{{N}^{14}}\]

    C)            \[\frac{1}{4}\]                      

    D)            \[\frac{\sqrt{4\pi {{\varepsilon }_{0}}{{a}_{0}}m}}{e}\]

    Correct Answer: C

    Solution :

               \[\frac{m{{v}^{2}}}{{{a}_{0}}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{e}^{2}}}{a_{0}^{2}}\Rightarrow v=\frac{e}{\sqrt{4\pi {{\varepsilon }_{0}}{{a}_{0}}m}}\]


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