AIIMS UG 2013 Mock Test

A gas is taken through the cycle $A\to B\to C\to A$, where $A=(2,2\times 10^5)$, $B=(2,6\times 10^5)$, and $C=(7,2\times 10^5)$ in $(V,P)$ coordinates ($V$ in $10^{-3}{\text{m}}^3$, $P$ in $\text{Pa}$). What is the net work done by the gas?

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $\frac{C_p}{C_v}$ for the gas is:

In a $(V-T)$ diagram for an ideal gas, two isobaric lines $P_1$ and $P_2$ are shown. If the slope of $P_2$ is less than the slope of $P_1$, what is the relation between the pressures?

The amount of heat energy required to raise the temperature of $1\text{g}$ of Helium at NTP from $T_1\text{K}$ to $T_2\text{K}$ is:

A wave travelling in the $+x$ direction having displacement along $y$ as $1\text{m}$, wavelength $2\pi \text{m}$ and frequency $\frac{1}{\pi }\text{Hz}$ is represented by: