Question
Binding energy per nucleon vs mass number curve for nuclei is shown in the Figure. $$W,X,Y$$ and $$Z$$ are four nuclei indicated on the curve. The process that would release energy is
Binding energy per nucleon vs mass number curve for nuclei is shown in the Figure. $$W,X,Y$$ and $$Z$$ are four nuclei indicated on the curve. The process that would release energy is
A.
$$Y \to 2Z$$
B.
$$W \to X + Y$$
C.
$$W \to 2Y$$
D.
$$X \to Y + Z$$
Answer :
$$W \to 2Y$$
Solution :
Energy is released when stability increases. This will happen when binding energy per nucleon increases.
Energy is released when stability increases. This will happen when binding energy per nucleon increases.
| Reactant | Product |
|---|---|
| Reaction (a) $$60 \times 8.5MeV = 510MeV$$ | $$2 \times 30 \times 5 = 300MeV$$ |
| Reaction (b) $$120 \times 7.5 = 900MeV$$ | $$\left( {90 \times 8 + 30 \times 5} \right) = 870MeV$$ |
| Reaction (c) $$120 \times 7.5 = 900MeV$$ | $$2 \times 60 \times 8.5 = 1020MeV$$ |
| Reaction (d) $$90 \times 8 = 720MeV$$ | $$\left( {60 \times 8.5 + 30 \times 5} \right) = 600MeV$$ |