For a particle performing uniform circular motion, choose the correct statement(s) from the following: 1. Magnitude of particle velocity (speed) remains constant. 2. Particle velocity remains directed perpendicular to radius vector. 3. Direction of acceleration keeps changing as particle moves. 4. Angular momentum is constant in magnitude but direction keeps changing.

For a particle performing uniform circular motion, choose the cor…

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MCQ

For a particle performing uniform circular motion, choose the correct statement$(s)$ from the following:

Magnitude of particle velocity $($speed$)$ remains constant.
Particle velocity remains directed perpendicular to radius vector.
Direction of acceleration keeps changing as particle moves.
Angular momentum is constant in magnitude but direction keeps changing.

✓
$1 , 2$ and $3$
B
$1 , 2$ and $4$
C
$2 , 3$ and $4$
D
$ 2$ and $3$

✓

Answer

Correct option: A.

$1 , 2$ and $3$

While a particle is in uniform circular motion. Then the following statements are true.

Speed will be always constant throughout.
Velocity will be always tangential in the direction of motion at a particular point.
The centripetal acceleration $a = v^2/r$ and its direction will always towards centre of the circular trajectory.
Angular momentum $(mvr)$ is constant in magnitude and direction. And its direction is perpendicular to the plane containing $r$ and $v.$

Important point: In uniform circular motion, magnitude of linear velocity and centripetal acceleration is constant but direction changes continuously.