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 and e is the charge on the electron and \[{{\varepsilon }_{0}}\] is the vacuum permittivity, the speed of the electron is

A)  \[0\]                

B)  \[\frac{e}{\sqrt{{{\varepsilon }_{0}}{{a}_{0}}m}}\]

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

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