AIEEE 2007 PYQ Mock Test

The displacement of an object attached to a spring and executing simple harmonic motion is given by $x=2\times 10^{-2}\cos \pi t$ metres. The time at which the maximum speed first occurs is:

In an a.c. circuit the voltage applied is $E=E_0\sin \omega t$. The resulting current in the circuit is $I=I_0\sin \left(\omega t-\frac{\pi }{2}\right)$. The power consumption in the circuit is given by:

An electric charge $10^{-3}\mu \text{C}$ is placed at the origin $(0,0)$ of $X-Y$ co-ordinate system. Two points $A$ and $B$ are situated at $(\sqrt{2},\sqrt{2})$ and $(2,0)$ respectively. The potential difference between the points $A$ and $B$ will be:

A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be:

An ideal coil of $10\text{H}$ is connected in series with a resistance of $5\Omega$ and a battery of $5\text{V}$. $2\text{seconds}$ after the connection is made, the current flowing in amperes in the circuit is: