JEE MAIN - Physics (2023 - 1st February Morning Shift - No. 16)
The mass of proton, neutron and helium nucleus are respectively $$1.0073~u,1.0087~u$$ and $$4.0015~u$$. The binding energy of helium nucleus is :
$$28.4~\mathrm{MeV}$$
$$56.8~\mathrm{MeV}$$
$$7.1~\mathrm{MeV}$$
$$14.2~\mathrm{MeV}$$
Explanation
Mass defect $=2($ Mass of $p+$ mass of $n)-$ mass of $\mathrm{He}$ nucleus
$$ \begin{aligned} & \Delta m=0.0305 u \\\\ & \text { B.E }=931.5 \times \Delta m=931.5 \times 0.0305 \\\\ & =28.4 \mathrm{MeV} \end{aligned} $$
$$ \begin{aligned} & \Delta m=0.0305 u \\\\ & \text { B.E }=931.5 \times \Delta m=931.5 \times 0.0305 \\\\ & =28.4 \mathrm{MeV} \end{aligned} $$
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