In the Bohr model of hydrogen atom the ratio of the kinetic energy to the total energy of the electron in `n^(th)` quantum state is _____ .

Options

A. `-1`
B. `+1`
C. `(1)/(2)`
D. 2

Answer

A

Explanation

`K.E.=(Ze^(2))/(8piepsilon_(0)r)"and"P.E.=(-Ze^(2))/(4piepsilon_(0)r)`
`:. " " "K.E.+P.E.= Total Energy" = (-Ze^(2))/(8piepsilon_(0)r)`
`implies " "(K.E.)/(T.E.)=(Ze^(2))/(8piepsilon_(0)r)xx(8piepsilon_(0)r)/(-Ze^(2))=-1`