JEE Main2010PhysicsNuclear PhysicsActual
A nucleus of mass M+ m is at rest and decays into two daughter nuclei of equal mass M 2 each. Speed of light is C . The speed of 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
Conserving the momentum gathered 0= M 2 ~V ₁- M 2 ~V ₂ ~V ₁= V ₂ (1) mc ^2= 1 2 M 2 ~V ₁^2+ 1 2 M 2 V ₂^2 (2) mc ^2= M 2 ~V ₁^2 2 mc ^2 M = V ₁^2 ~V ₁= c 2 m M gathered