Nuclear Physics And Radioactivity Question 416

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

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ _{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 $