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) and helium nucleus (24He) 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+1H2→2He4+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