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A brass ball is tied to a thin wire and swung so as to move uniformly in a horizontal circle. Which of the following statements in this regard is / are true? 1. The ball moves with constant velocity 2. The ball moves with constant speed 3. The ball moves with constant acceleration 4. The magnitude of the acceleration of the ball is constant Select the correct answer using the code given below:
Explanation
In uniform circular motion, an object moves along a circular path at a constant speed. While the speed remains constant, the velocity is a vector quantity that changes continuously because its direction is always changing. Since acceleration is defined as the rate of change of velocity, the object is constantly accelerating. This acceleration, known as centripetal acceleration, is directed toward the center of the circle. Although the direction of the acceleration vector changes as the object moves, its magnitude remains constant, calculated as v²/r. Therefore, statement 1 is false because velocity changes direction; statement 2 is true as speed is constant; statement 3 is false because the acceleration vector's direction changes; and statement 4 is true because the magnitude of acceleration is constant. Thus, statements 2 and 4 are correct.