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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

BITSAT 2020 · Physics · Center of Mass, Momentum and Collision

A nucleus splits into two nuclear parts which have their velocity...

A nucleus splits into two nuclear parts which have their velocity ratio equal to 2:1.2: 1. What will be the ratio of their nuclear radius?

Options

  1. A21/3:12^{1 / 3}: 1
  2. B1:21/31: 2^{1 / 3}
  3. C31/2:13^{1 / 2}: 1
  4. D1:31/21: 3^{1 / 2}

Correct answer

B. 1:21/31: 2^{1 / 3}

Step-by-step solution

As momentum is conserved, therefore m1m2=A1A2=v2v1=12∴R1R2=(A1A2)1/3=(12)1/3=1:21/3\frac{\mathrm{m}_{1}}{\mathrm{ m}_{2}}=\frac{\mathrm{A}_{1}}{\mathrm{ A}_{2}}=\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}=\frac{1}{2}\therefore \frac{\mathrm{R}_{1}}{\mathrm{R}_{2}}=\left(\frac{\mathrm{A}_{1}}{\mathrm{ A}_{2}}\right)^{1 / 3}=\left(\frac{1}{2}\right)^{1 / 3}=1: 2^{1 / 3}
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