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Question

Question: The binding energy per nucleon of deuteron \((_{1}^{2}H)\) and helium nucleus \((_{2}^{4}He)\) is 1....

The binding energy per nucleon of deuteron (12H)(_{1}^{2}H) and helium nucleus (24He)(_{2}^{4}He) is 1.1 MeV and 7 MeV respectively. If two deuteron nuclei react to form a single helium nucleus, then the energy released is

A

13.9 MeV

B

26.9 MeV

C

23.6 MeV

D

19.2 MeV

Answer

23.6 MeV

Explanation

Solution

1H2+1H22He4+Q1H^{2} +_{1}H^{2} \rightarrow_{2}He^{4} + Q

Total binding energy of helium nucleus = 4 × 7 = 28 MeV

Total binding energy of each deutron = 2 × 1.1 = 2.2 MeV

Hence energy released = 28 – 2 × 2.2 = 23.6 MeV