STATEMENT -1 : In a tug of war game, the two teams always pull the masless rope with same magnitude of force .
and
STATEMENT -2 : The force exerted by any team on the rope is equal to tension developed in the rope which will be same at both the ends .

Options

A. Statement -1 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 the two statements provided regarding a tug of war game and determine their validity.

### Step 1: Analyze Statement 1
**Statement 1:** In a tug of war game, the two teams always pull the massless rope with the same magnitude of force.

- In a tug of war, both teams exert forces on the rope. If the rope is massless, it means that the tension throughout the rope is uniform.
- If one team pulls harder than the other (i.e., if one force is greater than the other), the rope would accelerate in the direction of the stronger force. However, since the rope is massless, it cannot have any mass to accelerate.
- Therefore, for the rope to remain in equilibrium (not accelerating), the forces exerted by both teams must be equal.

**Conclusion for Statement 1:** This statement is **True**.

### Step 2: Analyze Statement 2
**Statement 2:** The force exerted by any team on the rope is equal to the tension developed in the rope which will be the same at both ends.

- When a team pulls on the rope, they exert a force (let's call it F). According to Newton's second law, if the rope is massless, the tension (T) in the rope must equal the force exerted by the team.
- Since both teams are pulling with equal force (as established in Statement 1), the tension in the rope must also be the same at both ends and equal to the force exerted by either team.

**Conclusion for Statement 2:** This statement is also **True**.

### Step 3: Determine the Relationship Between the Statements
- Since both statements are true, we need to determine if one statement provides a correct explanation for the other.
- Statement 1 explains that the forces exerted by both teams are equal because the rope is massless and cannot accelerate.
- Statement 2 explains that the tension in the rope is equal to the force exerted by the teams, which is consistent with the conclusion from Statement 1.

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

### Final Answer:
- Statement 1 is true.
- Statement 2 is true.
- Statement 1 is the correct explanation of Statement 2.

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