Assertion : Bulk modulus of an incompressible liquid is infinite.
Reason : Compressibility is inverse of bulk modulus.

Options

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

Explanation

To solve the question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding Bulk Modulus**:
- The bulk modulus (K) of a substance is defined as the measure of its resistance to uniform compression. It is mathematically expressed as:
\[ K = -V \frac{\Delta P}{\Delta V} \]
where \( \Delta P \) is the change in pressure, \( \Delta V \) is the change in volume, and \( V \) is the original volume.

2. **Bulk Modulus of Incompressible Liquids**:
- For an incompressible liquid, the volume does not change regardless of the pressure applied. Therefore, \( \Delta V = 0 \).
- Substituting \( \Delta V = 0 \) into the bulk modulus formula leads to:
\[ K = -V \frac{\Delta P}{0} \]
This expression tends to infinity since division by zero is undefined, indicating that the bulk modulus of an incompressible liquid is infinite.

3. **Understanding Compressibility**:
- Compressibility (β) is defined as the measure of the relative change in volume of a substance due to a change in pressure. It is given by:
\[ \beta = \frac{-1}{K} \]
- This means that compressibility is the inverse of the bulk modulus.

4. **Evaluating the Assertion and Reason**:
- **Assertion**: "Bulk modulus of an incompressible liquid is infinite." This is true based on our understanding from steps 1 and 2.
- **Reason**: "Compressibility is the inverse of bulk modulus." This is also true as shown in step 3.

5. **Determining the Relationship**:
- While both the assertion and the reason are correct, the reason does not provide a correct explanation for the assertion. The assertion stands independently as a fact about incompressible liquids, while the reason describes a general relationship between compressibility and bulk modulus.

6. **Conclusion**:
- Since both the assertion and reason are correct but the reason does not explain the assertion, the answer to the question is:
- **Answer A**: Both assertion and reason are correct, but reason is not a correct explanation of assertion.