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NEET 2014
Exam
NEET
Year
2014
Subject
Physics
Chapter
Nuclear Physics

NEET 2014 · Physics · Nuclear Physics

The Binding energy per nucleon of Li 37 and He 24 nucleon are...

The Binding energy per nucleon of Li37Li 37 and He24He 24 nucleon are 5.60MeV5.60MeV and 7.06MeV7.06MeV, respectively. In the nuclear reaction 37Li+11H→24He+24He+Q{}_{3}^{7}Li + {}_{1}^{1}H \to {}_{2}^{4}He + {}_{2}^{4}He + Q, the value of energy QQ released is

Options

  1. A19.6MeV19.6MeV
  2. B−2.4MeV- 2.4MeV
  3. C8.4MeV8.4MeV
  4. D17.3MeV17.3MeV

Correct answer

D. 17.3MeV17.3MeV

Step-by-step solution

Li74+H11→(He42)2L{i}^{7} 4 + {H 1}^{1} \to \left(H{e}^{4} 2\right) 2
BEBE of products=((5.6MeV)×7)+0= ( \left(5.6MeV\right) \times 7 ) + 0
=39.2MeV= 39.2MeV
Ei=−39.2MeV{E}_{i} = - 39.2MeV
BEBE of reactant=(7.06)×4×2= \left(7.06\right) \times 4 \times 2
=56.48MeV= 56.48MeV
Ef=−56.48MeV{E}_{f} = - 56.48MeV

As nuclear energy decreases, some energy will be released.
Qrelease=Ei−Ef=(−39.2)−(−56.48)=17.28MeV{Q}_{release} = {E}_{i} - {E}_{f} = \left(- 39.2\right) - \left(- 56.48\right) = 17.28MeV

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