The force acting on the electron in a hydrogen atom depends on the principal quantum number as

Options

A. `F prop 1/n^2`
B. `F prop 1/n^3`
C. `F prop 1/n^4`
D. `F prop n^2`

Answer

C

Explanation

`therefore F=(mv^2)/(r ) therefore F prop v^2/r`
But `v prop 1/n " and " r prop n^2`
`therefore F prop v^2/r " is proportional to " (1/n^2) xx1/n^2 " or " 1/n^4`
`therefore F prop 1/n^4`