Nuclear Physics And Radioactivity Question 52
Question: 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]
Options:
A) 1 : 2
B) 1 : 4
C) 4 : 1
D) 2 : 1
Show Answer
Answer:
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}}={{( \frac{A_{1}}{A_{2}} )}^{1/3}}={{( \frac{1}{8} )}^{1/3}}=\frac{1}{2} $ .
BETA
