Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Which of the following statements is false for a particle moving in a circle with a constant angular speed
Text Solution
Verified by ExpertsThe correct answer is:
B
Step 1: Understand the motion of a particle moving in a circle with constant angular speed. In such a scenario, the particle experiences uniform circular motion.
Step 2: Analyze each option:
Step 2: Analyze each option:
- Option A: The velocity vector is indeed tangent to the circle. This statement is true because, at any point on the circular path, the instantaneous velocity is directed along the tangent to the circle.
- Option B: The acceleration vector is tangent to the circle. This statement is false. In uniform circular motion, the acceleration (centripetal acceleration) points towards the center of the circle, not along the tangent.
- Option C: The acceleration vector points to the center of the circle. This is true as it describes the nature of centripetal acceleration in circular motion, which is directed inward.
- Option D: The velocity and acceleration vectors are perpendicular to each other. This statement is true as the velocity vector (tangent) and the centripetal acceleration vector (towards the center) are at right angles to each other.
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