NTA Abhyas JEE Main2020PhysicsAtomic PhysicsPractice
An alpha nucleus of energy 1 2 m v 2 bombards on a heavy nuclear target of the charge Ze . Then the distance of closest approach for the alpha nucleus will be proportional to
Options
- AZ 2 v 2
- Bv 2 Z 2
- CZ v 2
- Dv 2 Z
Correct answer
C. Z v 2
Step-by-step solution
For the closest approach, kinetic energy is converted into potential energy         1 2 mv 2 = 1 4 π ε 0 q 1 q 2 r 0 = 1 4 π ε 0 Ze 2 e r 0 r 0 ∝ Z v 2