Question

Directions: Some questions (Assertion-Reason type) are given below. Each question contains Statement I (Assertion) and Statement II (Reason). Each question has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct. So. Select the correct choice.

Statement I: The average velocity of a particle performing uniform circular motion over a complete cycle is zero.

Statement II: In uniform circular motion, the displacement of the particle in one complete revolution is zero.

• A. Statement I is True, Statement II is True; Statement II is a correct explanation for Statement I
• B. Statement I is True, Statement II is True; Statement II is NOT correct explanation for Statement I
• C. Statement I is True, Statement II is False
• D. Statement I is False, Statement II is True

Answer 1

The correct option is A

Statement I is True, Statement II is True; Statement II is a correct explanation for Statement I

Explanation for statement I:

1. The average velocity of a particle performing uniform circular motion is the ratio of the total displacement of the particle to the total time taken.
2. Thus, over a complete cycle the displacement of the particle is zero. therefore, the average velocity also becomes zero.

Explanation for statement II:

1. Displacement is the shortest distance between initial and final position.
2. After one complete revolution, the particle comes back to its initial position.
3. So the distance between the initial position and final position is zero in a uniform circular motion.
4. Hence, the displacement of the particle is zero.

Therefore, Statement I is True, Statement II is True; Statement II is a correct explanation for Statement I.

Hence, option (a) is correct.