Assertion : In a nuclear process energy is released if total binding energy of daughter nuclei is more than the total binding energy of parent nuclei.
Reason: If energy is released then total mass of daughter nuclei is less than the total mass of parent nuclei.

Options

A. (a) If both Assertion and Reason are true and Reason is correct explanation of the Assertion.
B. (b) If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. (c) If Assertion is true, but the Reason is false.
D. (d) If Assertion is false but the Reason is true.

Answer

To solve the given question, we will analyze both the assertion and the reason step by step.

### Step 1: Understanding Binding Energy
- **Binding Energy** is the energy required to hold the nucleons (protons and neutrons) together in the nucleus. The greater the binding energy, the more stable the nucleus is.

### Step 2: Analyzing the Assertion
- The assertion states that energy is released if the total binding energy of the daughter nuclei is greater than that of the parent nuclei.
- This is true because when a nuclear reaction occurs, if the daughter nuclei have a higher binding energy, it means that they are more stable than the parent nuclei. The difference in binding energy is released as energy.

### Step 3: Analyzing the Reason
- The reason states that if energy is released, then the total mass of the daughter nuclei is less than the total mass of the parent nuclei.
- This is also true due to the mass-energy equivalence principle (E=mc²). When energy is released in a nuclear reaction, it corresponds to a loss of mass. Therefore, the mass of the daughter nuclei will indeed be less than that of the parent nuclei.

### Step 4: Conclusion
- Both the assertion and the reason are true. Moreover, the reason provides a correct explanation for the assertion because the release of energy is indeed associated with a decrease in mass.

### Final Answer
- Both the assertion and reason are true, and the reason is the correct explanation for the assertion.

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