In the Bohr model of a hydrogen atom, the centripetal force is furnished by the Coulomb attraction between the proton and the electron. If ao is the radius of the ground state orbit, m is the mass and e is the charge on the electron and ε0 is the permittivity of vacuum, the speed of the electron is :

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eε0aom

e4πε0aom

4πεoaome

answer is C.

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Detailed Solution

mv2ao=14πεoe2a02∴ v=e4πεoaom

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