A string of length 'L' fixed at one end carries a mass 'm' at the other end. The string makes $\dfrac{3}{\pi}$ r.p.s. around the vertical axis through fixed end. The tension in the string is

A stationary body explodes into two parts of masses $M_1$ and $M_2$. They move in opposite directions with velocities $V_1$ and $V_2$. The ratio of their kinetic energies is

A body slides down a smooth inclined plane of inclination $\theta$ and reaches the bottom with velocity 'V'. If the same body is a ring which rolls down the same inclined plane then linear velocity at the bottom of the plane is

The relative angular speed of hour hand and minute hand of clock is