Nuclei - Result Question 31

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32. 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 :

======= ####32. 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 :

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/nuclei/nuclei—result-question-31.md (a) $30.2 MeV$

(c) $2.2 MeV$

(b) $23.6 MeV$

(d) $28.0 MeV$

[2010]

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Answer:

Correct Answer: 32. (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 $=28-4.4=23.6 MeV$