STATEMENT-1: A block is pulled along a horizontal frictionless surface by a thick rope. The tension in the rope will not always be the same at all points on it.
because
STATEMENT-2: the tension in the rope depends on the acceleration of the block rope system and the mass of the rope.

Options

A. Statement-1 is true, Statement-2 is True, Statement -2 is a correct explanation for Statement-1.
B. Statement-1 is True, Statement-2 is True, Statement -2 is NOT a correct explanation 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 both statements and understand the relationship between them.

### Step 1: Analyze Statement 1
Statement 1 claims that "A block is pulled along a horizontal frictionless surface by a thick rope. The tension in the rope will not always be the same at all points on it."

- **Reasoning**: In a typical scenario with an inextensible string, the tension is uniform throughout the string. However, in this case, since the rope has mass, the tension will vary along its length. The tension at different points in the rope will be affected by the mass of the rope itself and the acceleration of the block-rope system.

### Step 2: Analyze Statement 2
Statement 2 states that "the tension in the rope depends on the acceleration of the block-rope system and the mass of the rope."

- **Reasoning**: The tension in the rope is indeed influenced by the total mass being accelerated (which includes both the block and the rope) and the acceleration of the system. The heavier the rope and the more acceleration applied, the greater the tension will be at various points along the rope.

### Step 3: Establish the Relationship Between Statements
- Since Statement 1 is true (the tension varies along the rope due to its mass), and Statement 2 provides a valid explanation for why this is the case (the tension depends on the mass of the rope and the acceleration), we conclude that both statements are true and that Statement 2 is the correct explanation for Statement 1.

### Conclusion
Both statements are true, and Statement 2 correctly explains Statement 1. Therefore, we can conclude that the answer to the question is that both statements are true and Statement 2 is the correct explanation of Statement 1.

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