AIEEE 2013 PYQ Mock Test

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass $M$. The piston and cylinder have equal cross sectional area $A$. When the piston is in equilibrium, the volume of the gas is $V_0$ and its pressure is $P_0$. The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency:

A circular loop of radius $0.3\text{cm}$ lies parallel to a much bigger circular loop of radius $20\text{cm}$. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is $15\text{cm}$. If a current of $2.0\text{A}$ flows through the smaller loop, then the flux linked with bigger loop is:

A charge $Q$ is uniformly distributed over a long rod $AB$ of length $L$. The electric potential at the point $O$ lying at a distance $L$ from the end $A$ (where $O,A,B$ are collinear) is:

If a piece of metal is heated to temperature $\theta$ and then allowed to cool in a room which is at temperature ${\theta }_0$, the graph between the temperature $T$ of the metal and time $t$ will be closest to:

The $I-V$ characteristic of an LED is: