Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Nuclei

Question:

The binding energy of deuteron ${ }_1^2 H$ is 1.112 MeV per nucleon and an $ \alpha$-particle ${ }_2^4 \mathrm{He}$ has a binding energy of 7.047 MeV per nucleon. Then in the fusion reaction ${ }_1^2 H+{ }_1^2 H \rightarrow_2^4 H e+Q$, the energy Q released is

Options:

1 MeV

11.9 MeV

23.8 MeV

931 MeV

Correct Answer:

23.8 MeV

Explanation:

Mass of ${ }_1 H^2=2.01478$ a.m.u.

Mass of ${ }_2 He^4=4.00388$ a.m.u.

Mass of two deuterium = 2 × 2.01478 = 4.02956

Energy equivalent to $2_1 H^2$

= 4.02956 × 1.112 MeV = 4.48 MeV

Energy equivalent to ${ }_2 H^4$

= 4.00388 × 7.047 MeV = 28.21 MeV

Energy released = 28.21 - 4.48 = 23.73 MeV = 24 MeV