JEE Main 2026 Apr 6 Shift 2, Physics Q16: Mass-Energy and Nuclear Binding Energy

JEE Main2026Apr 6, Shift 2Physics

The energy released if hydrogen atoms are combined to form $_{2}^{4} He$ is_______. (Take binding energies per nucleon of $_{1}^{2} H$ and $_{2}^{4} He$ as 1.1 MeV and 7.2 MeV, respectively).

A
6.1
B
24.4
C
26.6
D
5

Solution

Reaction: $_{1}^{2} H +_{1}^{2} H \to_{2}^{4} He$ . Energy released equals the difference in total binding energies.

$Q = B E (He) - 2 \cdot B E (D) = 4 (7.2) - 2 \cdot 2 (1.1) = 28.8 - 4.4 = 24.4$ MeV.

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JEE Main 2026 Apr 6 Shift 2, Physics Q16: Mass-Energy and Nuclear Binding Energy

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