Atoms And Nuclei Question 346

Question: Two deuterons undergo nuclear fusion to form a Helium nucleus. Energy released in this process is : (given binding energy per nucleon for deuteron=1. 1 MeV and for helium=7.0 MeV)

Options:

A) 30.2 MeV

B) 32.4 MeV

C) 23.6 MeV

D) 25.8 MeV

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Answer:

Correct Answer: C

Solution:

  • $ _{1}H^{2}+ _{1}H^{2}\to _{2}He^{4} $

    Total binding energy of two deuterium nuclei $ =1.1\times 4=4.4,MeV $ Binding energy of a $ _{2}He^{4} $

    nuclei $ =4\times 7=28MeV $

    Energy released in this process $ =28-4.4=23.6MeV $



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