In uniform circular motion:
$(i)$ The magnitude of velocity is constant.
$(ii)$ The velocity vector is constant.
$(iii)$ The direction of velocity is constant.
Select the correct statement.

$A$ particle undergoes uniform circular motion. About which point on the plane of the circle will the angular momentum of the particle remain conserved?

For a particle in uniform circular motion,the acceleration $\vec{a}$ at a point $P(R, \theta)$ on the circle of radius $R$ is (Here $\theta$ is measured from the $x$-axis):

If $\vec{L}$ and $\vec{P}$ represent the angular momentum and linear momentum respectively of a particle of mass $m$ having position vector $\vec{r} = a(\hat{i} \cos \omega t + \hat{j} \sin \omega t)$,the direction of the force acting on the particle is:

In uniform circular motion,

What is uniform circular motion? Write the formula for centripetal acceleration in uniform circular motion.