JEE Main & Advanced
Physics
Nuclear Physics And Radioactivity
Question Bank
Critical Thinking
question_answer
A heavy nucleus at rest breaks into two fragments which fly off with velocities in the ratio 8 : 1. The ratio of radii of the fragments is [EAMCET (Engg.) 2001]
A) 1 : 2
B) 1 : 4
C) 4 : 1
D) 2 : 1
Correct Answer:
A
Solution :
By conservation of momentum m1v1 = m2v2 Þ \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{8}{1}=\frac{{{m}_{2}}}{{{m}_{1}}}\] ?? (i) Also from \[r\propto {{A}^{1/3}}\] Þ \[\frac{{{r}_{1}}}{{{r}_{2}}}={{\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right)}^{1/3}}={{\left( \frac{1}{8} \right)}^{1/3}}=\frac{1}{2}\].