Which of the following statement is true. The entropy if the universe

Options

A. Increases and tends towards maximum value
B. Decreases and tends to be zero
C. Remains constant
D. Decreases and increases with a periodic rate

Answer

To solve the question regarding the entropy of the universe, we will analyze each option based on our understanding of thermodynamics and the concept of entropy.

### Step-by-Step Solution:

1. **Understanding Entropy**:
- Entropy (S) is a measure of disorder or randomness in a system. In thermodynamics, it is a key concept that helps us understand the direction of spontaneous processes.

2. **Entropy of the Universe**:
- The total entropy of the universe is the sum of the entropy of the system (ΔS_system) and the entropy of the surroundings (ΔS_surroundings).
- Mathematically, this can be expressed as:
\[ ΔS_{universe} = ΔS_{system} + ΔS_{surroundings} \]

3. **Second Law of Thermodynamics**:
- According to the second law of thermodynamics, the entropy of the universe tends to increase over time. This means that in any spontaneous process, the total entropy will either increase or remain constant, but never decrease.
- Therefore, the entropy of the universe is always increasing and tends towards a maximum value.

4. **Evaluating the Options**:
- **Option A**: "Increases and tends towards maximum value."
- This aligns with the second law of thermodynamics and is correct.
- **Option B**: "Decreases and tends to be zero."
- This contradicts the second law, so it is incorrect.
- **Option C**: "Remains constant."
- This is also incorrect as the entropy of the universe does not remain constant in spontaneous processes.
- **Option D**: "Decreases and increases with a periodic rate."
- This is incorrect as well; entropy does not behave in a periodic manner.

5. **Conclusion**:
- The correct statement regarding the entropy of the universe is **Option A**: "Increases and tends towards maximum value."

### Final Answer:
The correct answer is **Option A: Increases and tends towards maximum value.**