A : The energy of the universe is constant, whereas the entropy of the universe is continuously increasing.
R : For spontaneous process `Delta S gt 0`.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1)
B. If both Assertion & Reason are true and the reason is not the correct explanation of the assertion, then mark (2)
C. If Assertion is true statement but Reason is false, then mark (3)
D. If both Assertion is true statement but Reason is false, then mark (3)

Answer

To analyze the given statements, we will break down the assertion (A) and the reason (R) step by step.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "The energy of the universe is constant, whereas the entropy of the universe is continuously increasing."
- This aligns with the First Law of Thermodynamics, which states that energy cannot be created or destroyed, only transformed. Thus, the total energy of the universe remains constant.
- The Second Law of Thermodynamics states that the entropy of an isolated system (or the universe) tends to increase over time, indicating a natural progression towards disorder.

2. **Understanding the Reason (R)**:
- The reason states that "For a spontaneous process, ΔS > 0."
- This means that in spontaneous processes, the change in entropy (ΔS) is positive, which supports the idea that the universe's entropy is increasing.
- Spontaneous processes occur without external influence and are characterized by an increase in the overall entropy of the universe.

3. **Connecting Assertion and Reason**:
- The assertion and reason are related in that they both reflect principles of thermodynamics. The assertion describes the overall behavior of energy and entropy in the universe, while the reason provides a specific condition (ΔS > 0) that characterizes spontaneous processes.
- However, while both statements are true, the reason does not directly explain the assertion. The assertion is a broader statement about the universe, while the reason is a specific condition for spontaneity.

4. **Conclusion**:
- Both the assertion (A) and the reason (R) are true statements.
- However, the reason (R) is not the correct explanation for the assertion (A). Therefore, the correct answer is that both statements are true, but the reason does not adequately explain the assertion.

### Final Answer:
Both A and R are true, but R is not the correct explanation of A.