STANDARDPhysics-Nuclear Physics

STANDARD Physics Fusion Reactions MCQ Question

Type: MCQ-numerical-Medium

The binding energy per nucleon of deuterium and helium nuclei are 1.1 MeV and 7.0 MeV respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is

A

23.6 MeV

B

2.2 MeV

C

28.0 MeV

D

30.2 MeV

Correct Answer

Option A

Detailed Explanation

The binding energy per nucleon of a deuterium = 1.1 MeV. Total binding energy = 2 × 1.1 = 2.2 MeV. The binding energy per nucleon of a helium nuclei = 7 MeV. Total binding energy = 4 × 7 = 28 MeV. Hence, energy released E = (28 – 2 × 2.2) = 23.6 MeV.

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