Nuclei Ques 28

28. The binding energy per nucleon in deuterium and helium nuclei are $1.1 MeV$ and $7.0 MeV$, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is :

[2010]

(a) $30.2 MeV$

(b) $23.6 MeV$

(c) $2.2 MeV$

(d) $28.0 MeV$

Show Answer

Answer:

Correct Answer: 28.(b)

Solution:

  1. (b) Binding energy of two $ _1 H^{2}$ nuclei

$=2(1.1 \times 2)=4.4 MeV$

Binding energy of one $ _2 He^{4}$ nucelus

$=4 \times 7.0=28 MeV$

$\therefore$ Energy released $=28-4.4=23.6 MeV$



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