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JEE Main 20266 AprilEvening Shift
Exam
JEE Main
Year
2026
Date
6 April
Shift
Evening Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2026 · 6 April · Evening Shift · Physics · Nuclear Physics

The energy released if hydrogen atoms are combined to form ^ 4 _ 2...

The energy released if hydrogen atoms are combined to form 24He^{4}_{2}\text{He} is __________ MeV. (Take binding energies per nucleon of 12H^{2}_{1}\text{H} and 24He^{4}_{2}\text{He} as 1.11.1 MeV and 7.27.2 MeV, respectively)

Options

  1. A6.16.1
  2. B24.424.4
  3. C26.626.6
  4. D55

Correct answer

B. 24.424.4

Step-by-step solution

The fusion reaction is given by:

212H→24He2 ^{2}_{1}\text{H} \rightarrow ^{4}_{2}\text{He}

Binding energy of one 12H^{2}_{1}\text{H} nucleus = 2×1.1=2.22 \times 1.1 = 2.2 MeV

Total initial binding energy = 2×2.2=4.42 \times 2.2 = 4.4 MeV

Binding energy of 24He^{4}_{2}\text{He} nucleus = 4×7.2=28.84 \times 7.2 = 28.8 MeV

Energy released ΔE\Delta E = Final binding energy - Initial binding energy

ΔE=28.8−4.4=24.4\Delta E = 28.8 - 4.4 = 24.4 MeV

Answer: 24.424.4
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