AIPMT 2012 Preliminary Mock Test

In a CE (Common Emitter) transistor amplifier, the audio signal voltage across the collector resistance of $2\text{k}\Omega$ is $2\text{V}$. If the base resistance is $1\text{k}\Omega$ and the current amplification of the transistor is $100$, the input signal voltage is:

A coil of resistance $400\Omega$ is placed in a magnetic field. If the magnetic flux $\varphi$ (Wb) linked with the coil varies with time $t$ (s) as $\varphi =50t^2+4$, the current in the coil at $t=2\text{s}$ is:

Liquid oxygen at $50\text{K}$ is heated to $300\text{K}$ at constant pressure of $1\text{atm}$. The rate of heating is constant. Which one of the following graphs represents the variation of temperature with time?

One mole of an ideal gas goes from an initial state $A$ to final state $B$ via two processes: It first undergoes isothermal expansion from volume $V$ to $3V$ and then its volume is reduced from $3V$ to $V$ at constant pressure. The correct $P-V$ diagram representing the two processes is:

A solid cylinder of mass $3\text{kg}$ is rolling on a horizontal surface with velocity $4{\text{ms}}^{-1}$. It collides with a horizontal spring of force constant $200{\text{Nm}}^{-1}$. The maximum compression produced in the spring will be: