Time taken by an electrons to complete one revolution in the Bohr orbit of the `H` atom is

Options

A. `(4m^(2) pi r^(2))/(n^(2)h^(2))`
B. `(n^(2)h^(2))/(4mr^(2))`
C. `(4 pi^(2) mr^(2))/(n h)`
D. `(n h)/(4 pi^(2)mr^(2))`

Answer

C

Explanation

According to Bohr's theory
`m upsilon r=(nh)/(2pi)`
`upsilon=(nh)/(2pi mr)`
Time required to complete one revolution
`t=(2pir)/(upsilon)=(2pir)/(nh)xx2pi mr=(4pi^(2)mr^(2))/(nh)`