JEE Main2017PhysicsAtomic PhysicsActual
The acceleration of an electron in the first orbit of the hydrogen atom ( n = 1 ) is :
Options
- Ah 2 4 π m 2 r 3
- Bh 2 π 2 m 2 r 3
- Ch 2 8 π 2 m 2 r 3
- Dh 2 4 π 2 m 2 r 3
Correct answer
D. h 2 4 π 2 m 2 r 3
Step-by-step solution
For H - atom   n = 1 m v 2 r = 1 4 π ϵ o e 2 r 2     . . . 1 m v r = h 2 π     . . . 2 On squaring ( 2 ) m 2 v 2 r 2 = h 2 4 π 2 On dividing both sides by r 3   , m 2 v 2 r = h 2 4 π r 3   ⇒ v 2 r = h 2 4 π 2 r 3 m 2 Acceleration =   h 2 4 π 2 r 3 m 2 .