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

  • Option 1)

    2^{1/3}:1

  • Option 2)

    1:3^{1/2}

  • Option 3)

    3^{1/2}:1

  • Option 4)

    1:2^{1/3}

 

Answers (1)

As we learnt in

Binding energy per nucleon -

 

- wherein

This graph shows the stability of nuclei many nuclear phenomena can be explained by this graph

 

 From conservation of momentum 

m1v1 = m2v2 

\because\ \;m \ \alpha\ A

Hence, A1v1 = A2v2

\frac{A_{1}}{A_{2}}=\frac{v_{2}}{v_{1}}=\frac{1}{2}

R=R_{0}A^{1/3}

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

Correct option is 4.


Option 1)

2^{1/3}:1

This is an incorrect option.

Option 2)

1:3^{1/2}

This is an incorrect option.

Option 3)

3^{1/2}:1

This is an incorrect option.

Option 4)

1:2^{1/3}

This is the correct option.

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