It is found experimentally that `13.6 eV` energy is required to separated a hydrogen atom into a proton and an electron. Compute the orbital radius and velocity of electron in a hydrogen atom.

Options

A. `5.3xx10^(-11)`m
B. `5.3xx10^(-12)`m
C. `7.6xx10^(-13)`m
D. `7.6xx10^(-14)`

Answer

A

Explanation

Total energy of electron in hydrogen atom, `E=-13.6eV=-13.6xx1.6xx10^(-19)J`
` =(-e)^(2)/(8piepsilon_(0)r) thereforer=e^(2)/(8piepsilon_(0)E`