AIPMT 2011 Preliminary Mock Test

The instantaneous angular position of a point on a rotating wheel is given by the equation $\theta (t)=2t^3-6t^2$. The torque on the wheel becomes zero at:

A particle moves in a circle of radius $5\text{cm}$ with constant speed and time period $0.2\pi \text{s}$. The acceleration of the particle is:

A body of mass $M$ hits normally a rigid wall with velocity $V$ and bounces back with the same velocity. The impulse experienced by the body is:

A planet moving along an elliptical orbit is closest to the sun at a distance $r_1$ and farthest away at a distance of $r_2$. If $v_1$ and $v_2$ are the linear velocities at these points respectively, then the ratio $v_1/v_2$ is:

A radioactive nucleus of mass $M$ emits a photon of frequency $\nu$ and the nucleus recoils. The recoil energy will be: