JEE Main On 8 April 2017 Question 28

Question: Two deuterons udnergo nuclear fusion to form a Helium nucleus. Energy released in this process is : [JEE Online 08-04-2017] (given binding energy per nucleon for deuteron = 1.1 MeV and for helium = 7.0 MeV)

Options:

A) 23.6 MeV

B) 25.8 MeV

C) 30.2 MeV

D) 32.4 MeV

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ _1H^{2}+ _1H^{1}\to 2H _c^{4} $ initiate
    $ \Rightarrow $ 1.1 × 4 = 4.4 final
    $ \Rightarrow $ 4 × 7 = 28 release
    $ \Rightarrow $ 28 - 4.4 = 23.6