PYQ NEET- Atoms And Nuclei L-4

Question: A nucleus of mass number 189 splits into two nuclei having mass number 125 and 64 . The ratio of radius of two daughter nuclei respectively is#

A) $1: 1$

B) $4: 5$

C) $5: 4$

D) $25: 16$

Answer: (C) $5: 4$#

Sol:#

Radius of nuclei with mass number A varies as $$ \begin{aligned} & R=R_0 A^{1 / 3} \ & \frac{R_1}{R_2}=\left(\frac{125}{64}\right)^{1 / 3}=\frac{5}{4}=5: 4 \end{aligned} $$