Assertion : The water rises higher in a capillary tube of small diameter than in the capillary tube of large diameter.
Reason : Height through which liquid rises in a capillary tube is inversely proportional to the diameter of the capillary tube.

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false
D. If the assertion and reason both are false

Answer

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

### Step 1: Understand the Assertion
The assertion states that "The water rises higher in a capillary tube of small diameter than in a capillary tube of large diameter."

**Analysis**: This statement is true. In capillary action, the height to which a liquid rises in a tube is influenced by the diameter of the tube. A smaller diameter allows for a greater height of liquid to be drawn up due to stronger adhesive forces between the liquid and the tube walls.

### Step 2: Understand the Reason
The reason states that "Height through which liquid rises in a capillary tube is inversely proportional to the diameter of the capillary tube."

**Analysis**: This statement is also true. The relationship between the height of the liquid column (h) and the diameter (d) of the capillary tube can be described by the formula:
\[ h \propto \frac{1}{d} \]
This means that as the diameter increases, the height of the liquid column decreases, confirming that the height is inversely proportional to the diameter.

### Step 3: Conclusion
Both the assertion and the reason are true, and the reason correctly explains the assertion.

### Final Answer:
- **Assertion**: True
- **Reason**: True
- **Explanation**: The reason is a proper explanation of the assertion.

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