Question

A nucleus ruptures into two nuclear parts which have their velocity ratio equal to 1:2. The ratio of their nuclear sizes (nuclear radius) is

• A. 2${}^{1/3}$:1
• B. 2 :1${}^{1/3}$
• C. 3 :1${}^{1/2}$
• D. 1 : 3${}^{1/2}$

Answer 1

The correct option is A 2${}^{1/3}$:1

As momentum is conserved,
As Velocity ratio $=1:2$ , mass ratio$=2:1[As,mv=constant]$
Density is constant and hence , mass is proportional to Volume
$r_1^3:r_2^3=2:1$
$r_1:r_2=2^{\frac{1}{3}}:1$