Question

In hydrogen atom, electron excites from ground state to higher energy state and its orbital velocity is reduced to (1/3)rd of its initial value. The radius of the orbit in the ground state is R. The radius of the orbit in that higher energy state is

(a) 2R

(b) 3R

(c) 27R

(d) 9R

Answer 1

The correct option is (d) 9R.

Explanation:

 As per question, v_h/v_g = 1/3

where subscripts h and g denotes higher energy state and ground state. 

Orbital velocity of electron in the nth orbit is