Two cars $S_1$ and $S_2$ are moving in coplanar concentric circular tracks in the opposite sense with the periods of revolution $3 \,min$ and $24 \,min$, respectively. At time $t=0$, the cars are farthest apart. Then, the two cars will be
closest to each other at $t=12 \,min$ and farthest at $t=18 \,min$
closest to each other at $t=3 \,min$ and farthest at $t=24 \,min$
closest to each other at $t=6 \,min$ and farthest at $t=12 \,min$
closest to each other at $t=12 \,min$ and farthest at $t=24 \,min$
The work done on a particle of mass $m$ by a force, $k\left[\frac{x}{\left(x^2+y^2\right)^{3 / 2}} \hat{i}+\frac{y}{\left(x^2+y^2\right)^{3 / 2}} \hat{j}\right]$ ( $K$ being a constant of appropriate dimensions), when the particle is taken from the point $(a, 0)$ to the point $(0, a )$ along a circular path of radius a about the origin in the $x$-y plane is :
If ${a_r}$ and ${a_t}$represent radial and tangential accelerations, the motion of a particle will be uniformly circular if
forceA particle moves with constant speed $v$ along a circular path of radius $r$ and completes the circle in time $T$. The acceleration of the particle is
For a particle in a uniformly accelerated circular motion
A particle $P$ is moving in a circle of radius $'a'$ with a uniform speed $v$ . $C$ is the centre of the circle and $AB$ is a diameter. When passing through $B$ the angular velocity of $P$ about $A$ and $C$ are in the ratio