Which of the following statements is FALSE for a particle moving in a circle with a constant angular speed? (a) The velocity vector is tangent to the circle. (b) The acceleration vector is tangent to the circle. (c) The acceleration vector points to the centre of the circle. (d) The velocity and acceleration vectors are perpendicular to each other.

Answer: (b). With constant angular speed, acceleration is only centripetal, a = ω² r towards the centre. Velocity is tangential, so v ⊥ a; (a), (c), (d) are true. The acceleration is not tangent to the circle. So the answer is (b).

Which of the following statements is FALSE for a particle moving in a… | JEE Main 2004 (AIEEE)

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Centripetal Acceleration & Force

Which of the following statements is FALSE for a particle moving in a circle with a constant angular speed?

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Answer: (b)

With constant angular speed, acceleration is only centripetal, $a = \omega^2 r$ towards the centre.
Velocity is tangential, so $\vec v \perp \vec a$ ; (a), (c), (d) are true.
The acceleration is not tangent to the circle.
So the answer is (b).

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