MCQ
  1. A body moving in a circle has an acceleration directed towards the centre.
  2. Uniform circular motion is an example of variable acceleration.
  3. Linear velocity of a body moving in a circle differs with the distance from the axis.
  • $'A\ ', 'B\ '$ and $'C\ '$ all are true statements.
  • B
    $'A\ ’$ is true, $'B\ '$ is false and $'C\ '$ is true statements.
  • C
    $'A\ ', 'B\ '$ and $'C\ '$ all are false statements.
  • D
    $'A\ ’$ is false, $'B\ '$ is true and $'C\ '$ is true statements.

Answer

Correct option: A.
$'A\ ', 'B\ '$ and $'C\ '$ all are true statements.
A body moving at constant speed in a circular path experiences an acceleration directed towards the centre of the circular path. This acceleration is called a centripetal acceleration and is provided by a centripetal force.
Uniform circular motion can be well$-$illustrated by swinging a tennis ball on a string in a circle over your head at a constant speed. The acceleration vector is considered variable because its direction changes, even though its magnitude is constant.
Thus, for a given angular velocity $ω$, the linear velocity $v$ of the particle is directly proportional to the distance of the particle from the centre of the circular path $($i.e$)$ for a body in a uniform circular motion, the angular velocity is the same for all points in the body but linear velocity is different.

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