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JIPMER 2007
Exam
JIPMER
Year
2007
Subject
Physics
Chapter
Nuclear Physics

JIPMER 2007 · Physics · Nuclear Physics

In the reaction _1^2 H+ _1^3 H _2^4 He+ _0^1 n , if the binding...

In the reaction 12H+13H⟶24He+01n{ }_1^2 \mathrm{H}+{ }_1^3 \mathrm{H} \longrightarrow{ }_2^4 \mathrm{He}+{ }_0^1 n, if the binding energies of 12H,13H{ }_1^2 \mathrm{H},{ }_1^3 \mathrm{H} and 24He{ }_2^4 \mathrm{He} are respectively a,ba, b and cc (in MeV ), then the energy (in MeV ) released in this reaction is

Options

  1. Ac+a−bc+a-b
  2. Bc−a−bc-a-b
  3. Ca+b+ca+b+c
  4. Da+b−ca+b-c

Correct answer

B. c−a−bc-a-b

Step-by-step solution

The energy released per nuclear reaction is the resultant binding energy. Binding energy of (12H+13H)=a+b\left({ }_1^2 \mathrm{H}+{ }_1^3 \mathrm{H}\right)=a+b Binding energy of 24He=c{ }_2^4 \mathrm{He}=c In a nuclear reaction the resultant nucleus is more stable than the reactants. Hence, binding energy of 24He{ }_2^4 \mathrm{He} will be more than that of (12H+13H)\left({ }_1^2 \mathrm{H}+{ }_1^3 \mathrm{H}\right) Thus, energy released per nucleon = resultant binding energy &=c−(a+b)=c−a−b\begin{aligned}& =\text{ resultant binding energy } \& =c-(a+b)=c-a-b\end{aligned}
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