The binding energy per nucleon in deuterium and helium nuclei are 1.1MeV and 7.0MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is :
23.6MeV
2.2MeV
28.0MeV
30.2MeV
A
23.6MeV
B
30.2MeV
C
2.2MeV
D
28.0MeV
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Solution
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1H2+1H2→2He4+ΔE The binding energy per nucleon of a deuteron =1.1MeV ∴ Total binding energy = 2×1.1=2.2MeV The binding energy per nucleon of a helium nuclei =7MeV ∴ Total binding energy = 4×7=28MeV ∴ Hence, energy released ΔE=(28−2×2.2)=23.6MeV
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