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In the Bohr model of a hydrogen atom, th...

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 chargeon the electron and `varepsilon_(0)` is the vacuum permittivity,the speed of the electron is

A

Zero

B

`(e )/(sqrt(epsilon_(0)a_(0)m))`

C

`(e )/(sqrt(4piepsilon_(0)a_(0)m))`

D

`(sqrt(4piepsilon_(0)a_(0)m))/( e)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(4pi epsilon_(0))(e^(2))/(a_(0)^(2))=(mv^2)/(a_(0))`
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