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JEE Main 202624 JanuaryEvening Shift
Exam
JEE Main
Year
2026
Date
24 January
Shift
Evening Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2026 · 24 January · Evening Shift · Physics · Nuclear Physics

The binding energy for the following nuclear reactions are...

The binding energy for the following nuclear reactions are expressed in MeV.
2He3+0n1→2He4+20MeV{ }_{2} \mathrm{He}^{3}+{ }_{0} \mathrm{n}^{1} \rightarrow{ }_{2} \mathrm{He}^{4}+20 \mathrm{MeV}
2He4+0n1→2He5−0.9MeV{ }_{2} \mathrm{He}^{4}+{ }_{0} \mathrm{n}^{1} \rightarrow{ }_{2} \mathrm{He}^{5}-0.9 \mathrm{MeV}
If X3,X4,X5\mathrm{X}_{3}, \mathrm{X}_{4}, \mathrm{X}_{5} denote the stability of 2He3,2He4{ }_{2} \mathrm{He}^{3},{ }_{2} \mathrm{He}^{4} and 2He5{ }_{2} \mathrm{He}^{5}, respectively, then the correct order is :

Options

  1. AX4<X5<X3\mathrm{X}_{4}<\mathrm{X}_{5}<\mathrm{X}_{3}
  2. BX4>X5>X3\mathrm{X}_{4}>\mathrm{X}_{5}>\mathrm{X}_{3}
  3. CX4>X5<X3\mathrm{X}_{4}>\mathrm{X}_{5}<\mathrm{X}_{3}
  4. DX4=X5=X3\mathrm{X}_{4}=\mathrm{X}_{5}=\mathrm{X}_{3}

Correct answer

B. X4>X5>X3\mathrm{X}_{4}>\mathrm{X}_{5}>\mathrm{X}_{3}

Step-by-step solution

BEHe4−BEHe3=20MeVBE_{He^4} - BE_{He^3} = 20 MeV ...(1)
BEHe5−BEHe4=−0.9MeVBE_{He^5} - BE_{He^4} = -0.9 MeV ...(2)
From eq (1) & (2)
BEHe4>BEHe5>BEHe3BE_{He^4} > BE_{He^5} > BE_{He^3}
X4>X5>X3X_4 > X_5 > X_3
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