AIEEE 2006 Mock Test

Which of the following units denotes the dimensions $[M{L}^2/Q^2]$, where $Q$ denotes the electric charge?

A player caught a cricket ball of mass $150\text{g}$ moving at a rate of $20\text{m/s}$. If the catching process is completed in $0.1\text{s}$, the force of the blow exerted by the ball on the hand of the player is equal to:

A ball of mass $0.2\text{kg}$ is thrown vertically upwards by applying a force by hand. If the hand moves $0.2\text{m}$ while applying the force and the ball goes up to $2\text{m}$ height further, find the magnitude of the force. (Consider $g=10{\text{m/s}}^2$)

Consider a two particle system with particles having masses $m_1$ and $m_2$. If the first particle is pushed towards the centre of mass through a distance $d$, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

Starting from the origin, a body oscillates simple harmonically with a period of $2\text{s}$. After what time will its kinetic energy be $75\%$ of the total energy?