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Binding Energy

The binding e...

Question

The binding energy per nucleon of $C^{12}$ is $7.68$ MeV and that of $C^{13}$ is $7.47$ Mev. The energy required to remove one neutron from $C^{13}$ is

495 M e V

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49.5 M e V

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4.95 M e V

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0.495 M e V

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Solution

The correct option is B $4.95 M e V$
$C^{13} \to C_{1}^{12} +^{1} n$
${B E)_{C}}^{12} = 12 \times 7.68$ $= 92.16 M e V$
${B E)_{C}}^{13} = 13 \times 7.47$ $= 97.11 M e V$
$Q = {B E)_{C}}^{12} - {B E)_{C}}^{12}$

$= 97.11 - 92.16$
$= 4.95 M e V$

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