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Q.

The binding energy per nucleon of deuterium and helium atom is 1.1 MeV and 7.0 MeV. If two deuterium nuclei fuse to form helium atom, the energy released is

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a

19.2 MeV

b

23.6 MeV

c

26.9 MeV

d

13.9 MeV

answer is B.

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Detailed Solution

1H2+1H2→2He4+ energy   Binding energy of a  1H2 deuterium nuclei  =2×1.1=2.2MeV Total binding energy of two deuterium nuclei =2.2×2=4.4MeV  Binding energy of a  2He4 nuclei =4×7=28MeV  So, energy released in fusion =28−4.4=23.6MeV
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