Question

A nucleus splits into two fragments which move with speeds in the ratio 2 : 1. The ratio of their nuclear sizes is approximately

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$\frac{m_1}{m_2}=\frac{r_1^3}{r_2^3}$ ..........(1)

$\frac{m_1}{m_2}=\frac{v_1^3}{v_2^3}$ ..........(2)

$\frac{r_1^3}{r_2^3}=\frac{v_2^3}{v_1^3}$ or $\frac{x_1}{x_2}=(\frac{v_2^3}{v_1^3}{)}^{\frac{1}{3}}$=$\frac{1}{2^{\frac{1}{3}}}$