In the nth orbit of hydrogen atom, find the ratio of the radius of the electron orbit and de-Broglie wavelength associated with it.

Explanation

In nth orbit of hydrogen atom, the velocity `v_n` of electron is given by
`mv_nr_n=(nh)/(2pi)`
or `v_n=(nh)/(2pimr_n)`
de-Broglie wavelength,
`lambda=h/(mv_n)=h/mxx(2pimr_n)/(nh)=(2pir_n)/n`
`:. (r_n)/lambda=n/(2pi)`