STATEMENT - 1 : Acceleration of a car moving on a circular track of radius r with speed v , for the person sitting in the car is zero.
and
STATEMENT - 2 : In the frame of reference of a person sitting in a car, the car always remains at rest irrespective of its motion with respect to ground.

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 question, we need to analyze both statements provided and determine their validity and relationship.

### Step-by-Step Solution:

**Step 1: Analyze Statement 1**
- Statement 1 claims that the acceleration of a car moving on a circular track of radius \( r \) with speed \( v \), for a person sitting in the car, is zero.
- In circular motion, even though the car is moving, it experiences centripetal acceleration directed towards the center of the circle. However, for a person inside the car, they do not feel this acceleration because they are in a non-inertial frame of reference (the car itself).
- Therefore, from the perspective of the person in the car, they perceive themselves as being at rest, and hence, they would measure the acceleration of the car as zero.

**Conclusion for Step 1**: Statement 1 is true.

**Step 2: Analyze Statement 2**
- Statement 2 states that in the frame of reference of a person sitting in the car, the car always remains at rest irrespective of its motion with respect to the ground.
- This is true because the person inside the car considers the car as their reference point. Since they are moving with the car, they do not observe any relative motion between themselves and the car. Thus, they perceive the car as being at rest.

**Conclusion for Step 2**: Statement 2 is also true.

**Step 3: Determine the relationship between the statements**
- Statement 2 serves as an explanation for Statement 1. Since the car is at rest in the frame of reference of the person, the acceleration of the car with respect to that person is indeed zero.
- Therefore, Statement 2 correctly explains why the acceleration in Statement 1 is perceived as zero.

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

### Final Answer:
- Both statements are true, and Statement 2 is the correct explanation of Statement 1.