question_answer

The binding energy per nucleon of deuteron\[(_{1}^{2}H)\]and helium nucleus\[(_{2}^{4}He)\]is,\[1.1\,MeV\]and \[7\text{ }MeV,\]respectively. If two deuteron nuclei react to form a single helium nucleus, then the energy released is          [AIEEE 2004]

A) \[13.9\text{ }MeV\]

B) \[26.9\text{ }MeV\]

C) \[23.6\text{ }MeV\]

D) \[19.2\text{ }MeV\]

Correct Answer: C

Solution :

[c] As givenenergy

The binding energy per nucleon of a deuteron

Total binding energy of one deuteron nucleus

The binding energy per nucleon of helium

Total binding energy

Hence, energy released in the above process