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In an α-decay...

Question

In an $α -$ decay the Kinetic energy of $α$ particle is $48 M e V$ and Q-value of the reaction is $50 M e V$ . The mass number of the mother nucleus is $20 A$ . Find the value of A. (Assume that daugther nucleus is in ground state.

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Solution

$Q = K_{α} + K_{d}$
$\frac{K_{d}}{K_{α}} = \frac{m_{α}}{m_{d}}$ .

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