Question: Q. 6. Binding energy per nucleon versus mass number curve is as shown.

${ }{Z}^{A} \mathrm{~S},{ }{Z 1}^{A 1} \mathrm{~W},{ }{Z 2}^{A 2} \mathrm{X}$ and ${ }{Z 3}^{A 3} \mathrm{Y}$ are four nuclei indicated on the curve.

Based on the graph :

(a) Arrange $X, W$ and $S$ in the increasing order of stability.

(b) Write the relation between the relevant $A$ and $Z$ values for the following nuclear reaction.

$S \rightarrow X+W$

(c) Explain why binding energy for heavy nuclei is low.

[SQP 2018]

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Solution:

Ans. (a) $S, W, X$ 1 (b) $Z=Z_{1}+Z_{2}$ $A=A_{1}+A_{2}$

(c) Reason for low binding energy :

In heavier nuclei, the Coulombian repulsive effects can increase considerably and can match/ offset the attractive effects of the nuclear forces. This can result in such nuclei being unstable. $\mathbf{1}$



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