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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2004 · Physics · Nuclear Physics

A nucleus disintegrates into two nuclear parts which have their...

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2:12: 1. The ratio of their nuclear sizes will be

Options

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

Correct answer

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

Step-by-step solution

R1R2=(m22m2)1/3\frac{R_1}{R_2}=\left(\frac{m_2}{2 m_2}\right)^{1 / 3} ⇒R1R2=1:21/3\Rightarrow \frac{R_1}{R_2}=1: 2^{1 / 3}
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