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JEE Main · 2004 · 24 Apr 2004 · Offline · Kinematics

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Which of the following statements is false for a particle moving in a circle with a constant angular speed?
  1. (A)The velocity vector is tangent to the circle.
  2. (B)The acceleration vector is tangent to the circle.✓ Correct
  3. (C)The acceleration vector points to the centre of the circle.
  4. (D)The velocity and acceleration vectors are perpendicular to each other.

Answer: (B)

Solution

In uniform circular motion the speed stays constant while the direction of motion keeps turning. The velocity always lies along the tangent, and the acceleration is the centripetal one, pointing inward along the radius towards the centre and so staying perpendicular to the velocity. The claim that the acceleration is directed along the tangent is the false one, because a constant angular speed leaves no tangential component of acceleration.

JEE Main · 2004 · 24 Apr 2004 · Offline · Single correct option

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