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MHT CET 2021 (22 Sep, Shift 1) · Nucleus: Composition, Size & Nuclear Force

Nucleus: Composition, Size & Nuclear Force question from MHT CET 2021 (22 Sep, Shift 1)

Q23MHT CET 2021 · 22 SEP · SHIFT 1Medium

Nucleus: Composition, Size & Nuclear Force

A nucleus breaks into two nuclear parts, which have their velocity ratio $2 : 1$ . The ratio of their nuclear radii will be

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Answer: (c)

Momentum is conserved from rest: $m_1 v_1 = m_2 v_2$ .
$\frac{m_1}{m_2} = \frac{v_2}{v_1} = \frac{1}{2}$ , and $A \propto m$ .
$R \propto A^{1/3} \Rightarrow \frac{R_1}{R_2} = \left(\frac{1}{2}\right)^{1/3}$
So the answer is (c) $\frac{1}{2^{1/3}}$ .

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