Assertion-Reason: Nuclear Stability and Binding Energy – 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): \(\text{Fe}^{56}\) nucleus is more stable than \(\text{U}^{235}\) nucleus. Reason (R): Binding energy of \(\text{Fe}^{56}\) nucleus is more than the binding energy of \(\text{U}^{235}\). In the light of the above statements, choose the correct answer from the option 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
(A) is false but (R) is true

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:

\(\text{Fe}^{56}\) is more stable because its binding energy per nucleon is higher than that of \(\text{U}^{235}\). However, the total binding energy of \(\text{U}^{235}\) is greater than that of \(\text{Fe}^{56}\) because it contains many more nucleons. Hence, Assertion is true but Reason is false.

Leave a Reply

Your email address will not be published. Required fields are marked *

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. Assertion (A): Nuclear force is short range while gravitation and electric force are universal. Reason (R): Nuclear force does not follow inverse square law.
2. Assertion (A): In photoelectric effect, cathode or emitter plate is usually coated with barium oxide, barium sulphide or strontium oxide. Reason (R): Coating prevents cathode from erosion.  
3. Radioactive material 'A' has decay constant '$8\lambda$' and material 'B' has decay constant '$\lambda$'. Initially they have same number of nuclei. After what time, the ratio of number of nuclei of material 'A' to that of 'B' will be $1/e$? (2017-Delhi)
4. When an electron do transition from $n = 4$ to $n = 2$, then emitted line in spectrum will be: (2000)
5. 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.