Question

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 center of the circle.

(D) The velocity and acceleration vectors are perpendicular to each other.

Answer 1

The correct option of this question is (B).

Explain : For a particle moving in a circle with constant angular speed, velocity vector is always tangent to the circle and the acceleration vector always points towards the centre of the circle or is always along radius of the circle.

Since, tangential vector is perpendicular to radial vector, therefore velocity vector will be perpendicular to the acceleration vector but in no case acceleration vector. But, in no case acceleration vector is tangent to the circle.