Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Nuclei

Question:

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

Options:

19.2 MeV

19.2 MeV

26.9 MeV

13.9 MeV

Correct Answer:

19.2 MeV

Explanation:

${ }_1 H^2+{ }_1 H^2 \rightarrow{ }_2 H e^4$ + energy

Binding energy of a $\left({ }_1 H^2\right)$ deuterium nuclei = 2 × 1.1 = 2.2 MeV

Total binding energy of two deuterium = 2.2 × 2 = 4.4 MeV

Binding energy of a $\left({ }_2 He^4\right)$ nuclei = 4 × 7 = 28 MeV

So, energy released in fusion = 28 − 4.4 = 23.6 MeV