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  • Help me solve this . An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the ratio of 8 : 27. The ratio of the radii of the nuclei (assumed to be spherical) is :

. An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the ratio of 8 : 27. The ratio of the radii of the nuclei (assumed to be spherical) is :

  • Option 1)

    8 : 27

  • Option 2)

    4 : 9

  • Option 3)

    3 : 2

  • Option 4)

    2 : 3

 

Answers (2)

best_answer

m_{1}v_{1}=m_{2}v_{2}

\therefore \frac{m_{1}}{m_{2}}=\frac{v_{2}}{v_{1}}= \frac{27}{8}

\therefore \frac{A_{1}}{A_{2}}= \frac{27}{8}

\therefore \frac{r_{1}}{r_{2}}= \frac{r_{0}A_{1}^{1/3}}{r_{0}A_{2}^{1/3}}=\left ( \frac{A_{1}}{A_{2}} \right )^{1/3}=\frac{3}{2}


Option 1)

8 : 27

Option 2)

4 : 9

Option 3)

3 : 2

Option 4)

2 : 3

Posted by

Aadil

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