Statement-1: A parachute descends slowly whereas a stone dropped from same height falls rapidly.
Statement-2: The viscous force of air on parachute is larger than that of o a falling stone.

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 analyze the given statements, let's break down the reasoning step by step.

### Step 1: Understanding the Statements
We have two statements:
- **Statement 1**: A parachute descends slowly whereas a stone dropped from the same height falls rapidly.
- **Statement 2**: The viscous force of air on the parachute is larger than that on a falling stone.

### Step 2: Analyzing Statement 1
A parachute is designed to create a large surface area that interacts with the air. This large surface area increases the air resistance (or drag) acting on the parachute, allowing it to descend slowly. In contrast, a stone has a much smaller surface area, resulting in less air resistance, which allows it to fall rapidly.

**Conclusion for Statement 1**: True. The parachute descends slowly due to greater air resistance compared to the rapidly falling stone.

### Step 3: Analyzing Statement 2
The viscous force (or drag force) experienced by an object moving through a fluid (in this case, air) is directly proportional to the surface area of the object. The formula for viscous force can be expressed as:
\[ F_v \propto A \]
where \( F_v \) is the viscous force and \( A \) is the cross-sectional area.

Since the parachute has a significantly larger surface area than the stone, it experiences a larger viscous force when descending through the air.

**Conclusion for Statement 2**: True. The viscous force of air on the parachute is indeed larger than that on the falling stone.

### Step 4: Relationship Between the Statements
Since Statement 2 provides a valid explanation for why Statement 1 is true, we can conclude that both statements are true and that Statement 2 correctly explains Statement 1.

### Final Conclusion
- **Statement 1**: True
- **Statement 2**: True
- **Statement 2 is the correct explanation for Statement 1**.

### Summary of the Solution
Both statements are true, and Statement 2 serves as a correct explanation for Statement 1.

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