Statement -1 : A large soap bubble expands while a small bubble shrink, when they are connecteed to each other by a capillary tube.
Statement -2 : The excess pressure (due to surface tension) inside a spherical bubble increasesee, as its volume decreases.

Options

A. Statement-1, is true, Statement-2 is true, Statement-2 is correct explanation for statement-1
B. Statement-1 is true, statement-2 is true, statement-2 is NOT a correct explantion for statement-1
C. statement-1 is true, statement-2 is false
D. statement-1 is false statement-2 is true

Answer

To solve the problem, we need to analyze the two statements provided and determine their validity and relationship.

### Step 1: Understanding Statement 1
**Statement 1**: A large soap bubble expands while a small bubble shrinks when they are connected to each other by a capillary tube.

- When two bubbles are connected by a capillary tube, they can exchange air. The larger bubble has a lower internal pressure compared to the smaller bubble due to the relationship between pressure and radius in bubbles. Therefore, air will flow from the smaller bubble to the larger bubble, causing the larger bubble to expand and the smaller bubble to shrink.

**Conclusion**: Statement 1 is true.

### Step 2: Understanding Statement 2
**Statement 2**: The excess pressure (due to surface tension) inside a spherical bubble increases as its volume decreases.

- The excess pressure inside a bubble is given by the formula:
\[ P = \frac{4T}{r} \]
where \( P \) is the excess pressure, \( T \) is the surface tension, and \( r \) is the radius of the bubble.
- As the volume of a bubble decreases, its radius \( r \) also decreases. Since pressure is inversely proportional to the radius, a decrease in radius leads to an increase in excess pressure.

**Conclusion**: Statement 2 is true.

### Step 3: Relationship Between the Statements
- Statement 2 explains the phenomenon described in Statement 1. The increase in pressure in the smaller bubble causes it to shrink, while the larger bubble expands due to the lower pressure.

### Final Conclusion
Both statements are true, and Statement 2 is the correct explanation for Statement 1. Therefore, the answer is:

**Option A**: Both statements are true, and Statement 2 is the correct explanation of Statement 1.

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