AIEEE 2006 Mock Test

The current $I$ drawn from the $5\text{V}$ source in the following circuit is:

In a series resonant LCR circuit, the voltage across $R$ is $100\text{V}$ and $R=1\text{k}\Omega$ with $C=2\mu \text{F}$. The resonant frequency $\omega$ is $200\text{rad/s}$. At resonance, the voltage across $L$ is:

Two infinitely large insulating plates are uniformly charged such that the potential difference between them is $V_2-V_1=20\text{V}$. The plates are separated by $d=0.1\text{m}$. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? ($e=1.6\times 10^{-19}\text{C}$, $m_e=9.11\times 10^{-31}\text{kg}$)

The resistance of a bulb filament is $100\Omega$ at a temperature of $100^{\circ }\text{C}$. If its temperature coefficient of resistance be $0.005$ per ${}^{\circ }\text{C}$, its resistance will become $200\Omega$ at a temperature of:

In an AC generator, a coil with $N$ turns, all of the same area $A$ and total resistance $R$, rotates with frequency $\omega$ in a magnetic field $B$. The maximum value of emf generated in the coil is: