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Binding Energy

The binding e...

Question

The binding energy per nucleon for $C^{12}$ is $7.68 M e V$ and that for $C^{13}$ is $7.5 M e V$ . How much energy is required to remove a neutron from $C^{13}$ ?

5.34 M e V

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5.5 M e V

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9.5 M e V

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9.34 M e V

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Solution

The correct option is B $5.34 M e V$
Total B.E. for $C^{13}$ is $13 \times 7.5 = 97.5 M e V$
Total B.E. for $C^{12}$ is $12 \times 7.68 = 92.16 M e V$
The energy required to remove a neutron from $C^{13}$ is $97.5 - 92.16 = 5.34 M e V$

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