(B) The binding energy per nucleon curve shows that for nuclei with mass numbers between $30$ and $170$,the binding energy per nucleon is approximatel

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$(A)$ is true but $(R)$ is false

(B) The binding energy per nucleon curve shows that for nuclei with mass numbers between $30$ and $170$,the binding energy per nucleon is approximately constant (about $8 \text{ MeV}$ per nucleon). This is because the nuclear force is short-ranged and saturates,meaning each nucleon only interacts with its nearest neighbors. Therefore,Assertion $(A)$ is true. The Reason $(R)$ states that the nuclear force is long-range,which is false; the nuclear force is a short-range force. Thus,$(A)$ is true but $(R)$ is false.

Class 12 Physics Nuclei Mass-Energy, Nuclear Binding Energy, Nuclear Stability

Medium

Given below are two statements. One is labelled as Assertion $(A)$ and the other is labelled as Reason $(R)$.
Assertion $(A) :$ The binding energy per nucleon is found to be practically independent of the atomic number $A$,for nuclei with mass numbers between $30$ and $170$.
Reason $(R) :$ Nuclear force is long range.
In the light of the above statements,choose the correct answer from the options given below $:$

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A
$(A)$ is false but $(R)$ is true
B
$(A)$ is true but $(R)$ is false
C
Both $(A)$ and $(R)$ are true and $(R)$ is the correct explanation of $(A)$
D
Both $(A)$ and $(R)$ are true but $(R)$ is $\text{NOT}$ the correct explanation of $(A)$