NTA Abhyas JEE Main2020PhysicsAtomic PhysicsPractice
In a hydrogen-like species, the net force acting on a revolving electron in an orbit as given by the Bohr model is proportional to [ n → principal quantum number, Z → atomic number]
Options
- AZ 3 n 4
- Bn 3 Z 2
- CZ 2 n 3
- Dn 4 Z 3
Correct answer
A. Z 3 n 4
Step-by-step solution
The net force on a revolving electron is F = m v 2 r F ∝ v n 2 r n The velocity of the electron in the n th shell v n ∝ Z n and the radius of the n th shell r n ∝ n 2 Z ⇒ F ∝ Z 3 n 4