AIPMT NEET 2014 Mock Test

A balloon with mass ‘m’ is descending down with an acceleration ‘a’ (where $a<g$). How much mass should be removed from it so that it starts moving up with an acceleration ‘a’?

A body of mass ($4m$) is lying in $x-y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass ($m$) move perpendicular to each other with equal speeds ($v$). The total kinetic energy generated due to explosion is:

The oscillation of a body on a smooth horizontal surface is represented by the equation $X=A\cos (\omega t)$. Which one of the following graphs shows correctly the variation of acceleration $a$ with $t$?

A solid cylinder of mass $50\text{kg}$ and radius $0.5\text{m}$ is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of $2{\text{revolutions/s}}^2$ is:

The ratio of the accelerations for a solid sphere (mass ‘m’ and radius ‘R’) rolling down an incline of angle ‘$\theta$ ’ without slipping and slipping down the incline without rolling is: