NTA Abhyas JEE Main2020PhysicsAtomic PhysicsPractice
The acceleration of electron in the first orbit of a hydrogen atom is (where the symbols have their usual meanings)
Options
- A4 π 2 m h 3
- Bh 2 4 π 2 m r
- Ch 2 4 π 2 m 2 r 3
- Dm 2 h 2 4 π 2 r 3
Correct answer
C. h 2 4 π 2 m 2 r 3
Step-by-step solution
From m v r = n h 2 π , v = n h 2 π m r For the first Bohr orbit, n = 1 Acceleration, a = v 2 r = n 2 h 2 4 π 2 m 2 r 2 ( r ) = h 2 4 π 2 m 2 r 3