Calculate the orbital period of the electron in the first excited state of hydrogen atom.

Explanation

`because r_(n) =( in_(0) n^(2) h^(2))/( pi m e^(2)) ` and `v_(n) = (e^(2))/(2 in_(0) n h)`
`therefore ` Orbital period `T_(n) =(2 pi r_(n))/(v_(n)) = (4 in_(0)^(2) n^(3) h^(3))/( me^(4))`
In first excited state of hydrogen atom n = 2 . ,br> `therefore" " T_(n) = ( 4 xx (8.85 xx 10^(-12))^(2) xx (2)^(3) xx (6.63 xx 10^(-34))^(3))/((9.1 xx 10^(-31)) xx (1.6 xx 10^(-19))^(4)) = 3.14 xx 10^(-15) s`