Nuclear Physics and RadioactivityMedium

Question

The energy released if hydrogen atoms are combined to form $\frac{4}{2}He$ is $\_\_\_\_$ .

(Take binding energies per nucleon of $\ _{1}^{2}H$ and $\ _{2}^{4}He$ as 1.1 meV and 7.2 MeV , respectively).

Options

A.6.1
B.24.4
C.26.6
D.5

Solution

Sol. [Key Concept: Fusion $2H + {}^{2}H \rightarrow {}^{4}He$: $Q = BE(He) - 2\ BE(^{2}H) = 4 \times 7.2 - 4 \times 1.1 = 24.4$ MeV.]

$$\ \ _{1}^{2}H + \overline{\ _{1}^{2}H \rightarrow \ _{2}^{4}He} $$$Q = BE$ (RHS) -BE (LHS)

$${= 4 \times 7.2 - 4 \times 1.1 }{= 4 \times 6.1 }$$Q $= 24.4MeV$

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