NTA Abhyas JEE Main2020PhysicsNuclear PhysicsPractice
A nucleus of mass M + ∆ m is at rest and decays into two daughter nuclei of mass M 2 each. If the speed of light is c , then the speed of any one of the daughter nuclei is
Options
- Ac ∆ m M + ∆ m
- Bc 2 ∆ m M
- Cc ∆ m M
- Dc ∆ m M + ∆ m
Correct answer
B. c 2 ∆ m M
Step-by-step solution
According to the conservation of momentum 0 = M 2 V 1 - M 2 V 2 V 1 = V 2 = v ∆ m c 2 = 1 2 . M 2 V 1 2 + 1 2 . M 2 V 2 2 ⇒ v = c 2 ∆ m M