Question:
Binding energy per nucleon versus mass number curve for
nuclei is shown in figure. W, X, Y and Z are four nuclei
indicated on the curve. The process that would release
energy is
Binding energy per nucleon versus mass number curve for
nuclei is shown in figure. W, X, Y and Z are four nuclei
indicated on the curve. The process that would release
energy is
Updated On: Aug 15, 2022
- $Y \rightarrow 2Z$
- $W \rightarrow X + Z$
- $Y \rightarrow 2Y$
- $X \rightarrow Y + Z$
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The Correct Option is C
Solution and Explanation
Energy is released in a process when total binding energy of
the nucleus (= binding energy per nucleon $\times$ number of
nucleons) is increased or we can say, when total binding
energy of products is more than the reactants. By calculation
we can see that only in option (c), this happens.
Given : $W \rightarrow 2Y$
Binding energy of reactants$=120 \times 7.5=900 MeV$
and binding energy of products=$2 (60 \times 8.5)$
=1020 $MeV > 900 MeV$
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Nuclei
In the year 1911, Rutherford discovered the atomic nucleus along with his associates. It is already known that every atom is manufactured of positive charge and mass in the form of a nucleus that is concentrated at the center of the atom. More than 99.9% of the mass of an atom is located in the nucleus. Additionally, the size of the atom is of the order of 10-10 m and that of the nucleus is of the order of 10-15 m.
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Following are the terms related to nucleus:
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- Nuclear Size
- Nuclear Density
- Atomic Mass Unit