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Alpha Decay

The binding e...

Question

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

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 binding energy of $C^{13}$ is $E_{1} = 7.5 \times 13 = 97.5 M e V$
Total binding energy of $C^{12}$ is $E_{2} = 7.68 \times 12 = 92.16 M e V$
The energy required to remove a neutron is $E_{1} - E_{2} = 5.34 M e V$

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