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JEE Main 20178 AprilOnline
Exam
JEE Main
Year
2017
Date
8 April
Mode
Online
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2017 · 8 April · Online · Physics · Nuclear Physics

Two deuterons undergo nuclear fusion to form a Helium nucleus. The...

Two deuterons undergo nuclear fusion to form a Helium nucleus. The energy released in this process is (given binding energy per nucleon for deuteron=1.1MeV= \text{1.1}MeV and for helium=7.0MeV= \text{7.0}MeV)

Options

  1. A23.6MeV\text{23.6}MeV
  2. B30.2MeV\text{30.2}MeV
  3. C25.8MeV\text{25.8}MeV
  4. D32.4MeV\text{32.4}MeV

Correct answer

A. 23.6MeV\text{23.6}MeV

Step-by-step solution

Q = ∑ B . E . ofproducts - ∑ B . E . ofreactants<br/><br/>TheequationfortwodeuteronscombiningtoformHeliumnucleusisgivenas<br /><br />The equation for two deuterons combining to form Helium nucleus is given as{H}^{2}{+}_{1}{H}^{2}{\to}_{2}{H}^{4}<br/><br/>Energyreleased=Q=4[B.E.(2H4)]−4[B.E.(1H2)]<br /><br />Energyreleased = Q = 4\left[B . E . \left({}_{2}{H}^{4}\right)\right] - 4\left[B . E . \left({}_{1}{H}^{2}\right)\right]
=4×7−4×1.1= 4 \times 7 - 4 \times \text{1.1}

=28−4.4= 28 - \text{4.4}

The energy released in this process is =23.6MeV= \text{23.6}MeV

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