CUET · PHYSICS · PYQ PAPER 2025
A nucleus disintegrates into two nuclear fragments which move apart, having their velocities in the ratio 1:3. The ratio of their nuclear sizes, respectively, will be
- A \( \sqrt[3]{3} : 1 \)
- B \( \sqrt{3} : 1 \)
- C 1 : \( \sqrt[3]{3} \)
- D 1 : \( \sqrt{3} \)
Answer & Solution
Correct Answer
(A) \( \sqrt[3]{3} : 1 \)
Step-by-step Solution
Detailed explanation
\( m_1 v_1 = m_2 v_2 \) \( \frac{m_1}{m_2} = \frac{v_2}{v_1} = \frac{3}{1} \) \( \frac{A_1}{A_2} = \frac{m_1}{m_2} = 3 \) \( \frac{R_1}{R_2} = \left( \frac{A_1}{A_2} \right)^{1/3} \) \( \frac{R_1}{R_2} = (3)^{1/3} = \sqrt[3]{3} : 1 \)
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