The binding energy (in MeV) of a nitrogen nucleus $\left({}_7^{14}N\right)$  is :

(Given mass of nucleus $m\left({}_7^{14}N\right)=14.00307u$ , mass of proton $m_p=1.00783u$ , mass of neutron $m_n=1.00867u$ and $1u=931.5\mathrm{M}\mathrm{e}\mathrm{V}/{\mathrm{c}}^2$  )

<p><span contenteditable="false"> <math> <msubsup> <mrow> <mrow> <mi> </mi> </mrow> </mrow> <mrow> <mrow> <mn>7</mn> </mrow> </mrow> <mrow> <mrow> <mn>14</mn> </mrow> </mrow> </msubsup> <mtext> </mtext> <mi mathvariant="normal">N</mi> </math> </span> contains 7 protons and 7 neutrons.</p><p>Mass defect, &nbsp;<math><mfenced separators="|"><mrow><mrow><msub><mrow><mrow></mrow></mrow><mrow><mrow></mrow></mrow></msub><msub><mrow><mrow></mrow></mrow><mrow><mrow></mrow></mrow></msub></mrow></mrow></mfenced><mfenced separators="|"><mrow><mrow><mtable><mtr><mtd><mrow></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mrow></mfenced></math><span contenteditable="false"> <math> <mi mathvariant="normal">Δ</mi> <mi>m</mi> <mo>=</mo> <mfenced separators="|"> <mrow> <mrow> <mn>7</mn> <msub> <mrow> <mrow> <mi>m</mi> </mrow> </mrow> <mrow> <mrow> <mi>H</mi> </mrow> </mrow> </msub> <mo>+</mo> <mn>7</mn> <msub> <mrow> <mrow> <mi>m</mi> </mrow> </mrow> <mrow> <mrow> <mi>n</mi> </mrow> </mrow> </msub> </mrow> </mrow> </mfenced> <mo>-</mo> <mi>m</mi> <mfenced separators="|"> <mrow> <mrow> <mtable> <mtr> <mtd> <mrow> <mn>14</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mn>7</mn> </mrow> </mtd> </mtr> </mtable> </mrow> </mrow> </mfenced> <mo>=</mo> <mo> (</mo> <mn>7</mn> <mo>×</mo> <mn>1.00783</mn> <mi>u</mi> <mo>)</mo> <mo>+</mo> <mo> (</mo> <mn>7</mn> <mo>×</mo> <mn>1.00867</mn> <mi>u</mi> <mo>)</mo> <mo>-</mo> <mn>14.00307</mn> <mi>u</mi> </math> </span></p><p><span contenteditable="false"> <math> <mo>=</mo> <mn>0.11243</mn> <mi>u</mi> </math> </span></p><p>Binding energy <span contenteditable="false"> <math> <mo>=</mo> <mn>0.11243</mn> <mo>×</mo> <mn>931.5</mn> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">V</mi> <mo>=</mo> <mn>104.7</mn> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">V</mi> </math> </span></p>

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