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NEET 1996 (AIPMT) · Nucleus: Composition, Size & Nuclear Force

Nucleus: Composition, Size & Nuclear Force question from NEET 1996 (AIPMT)

Q39NEET 1996 · AIPMTMedium

Nucleus: Composition, Size & Nuclear Force

A nucleus ruptures into two nuclear parts, which have their velocity ratio equal to $2 : 1$ . What will be the ratio of their nuclear size (nuclear radius)?

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Answer: (d)

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 $A \propto m$ .
$R \propto A^{1/3} \Rightarrow \frac{R_1}{R_2} = \frac{1}{2^{1/3}}$
So the answer is (d) $1 : 2^{1/3}$ .

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