Verified Solution • 2025–26 Session moderate

QJEEM23Phfff8: JEE Main 2023 Physics - Class 12 JEEM23Phfff8 Solution: The mass of proton, neutron and helium nucleus are respectively …

The mass of proton, neutron and helium nucleus are respectively 1.0073 u,1.0087 u1.0073~u,1.0087~u and 4.0015 u4.0015~u . The binding energy of helium nucleus is :

Multiple Choice Options

  • A 28.4 MeV28.4~\mathrm{MeV}
  • B 56.8 MeV56.8~\mathrm{MeV}
  • C 7.1 MeV7.1~\mathrm{MeV}
  • D 14.2 MeV14.2~\mathrm{MeV}

Step-by-Step Verified Solution

Mass defect =2(=2( Mass of p+p+ mass of n)−n)- mass of He\mathrm{He} nucleus

amp;Δm=0.0305uamp; B.E =931.5×Δm=931.5×0.0305amp;=28.4MeV\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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