Binding energy per nucleon and nuclear forces – Rankers Physics

Nucleus: Practice Problem & Solution

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Binding energy per nucleon for atoms having mass number between \(30\) to \(170\), almost remains same. Reason (R): Nuclear force is a short range force and hence get saturated. In the light of the above statements, choose the correct answer from the options given below.
Both (A) and (R) are true and (R) is the correct explanation of (A)
Both (A) and (R) are true but (R) is not the correct explanation of (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Nucleus. Understanding the underlying formula is key to arriving at the correct answer below:

The binding energy per nucleon is nearly constant in the range \(30 < A < 170\) due to the short-range nature and saturation property of nuclear forces. Thus, both Assertion and Reason are true and the Reason is the correct explanation.

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