Easy MCQ +4 / -1 PYQ · JEE Mains 2023

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 :

  1. A $28.4~\mathrm{MeV}$ Correct answer
  2. B $56.8~\mathrm{MeV}$
  3. C $7.1~\mathrm{MeV}$
  4. D $14.2~\mathrm{MeV}$

Solution

Mass defect $=2($ Mass of $p+$ mass of $n)-$ mass of $\mathrm{He}$ nucleus <br/><br/>$$ \begin{aligned} & \Delta m=0.0305 u \\\\ & \text { B.E }=931.5 \times \Delta m=931.5 \times 0.0305 \\\\ & =28.4 \mathrm{MeV} \end{aligned} $$

About this question

Subject: Physics · Chapter: Atoms and Nuclei · Topic: Bohr's Model of Hydrogen Atom

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