AIEEE 2013 PYQ Mock Test

Assume that a drop of liquid evaporates by decrease in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is $T$, density of liquid is $\rho$ and $L$ is its latent heat of vaporization.

The graph between angle of deviation ($\delta$) and angle of incidence ($i$) for a triangular prism is represented by:

Let $[{ϵ}_0]$ denote the dimensional formula of the permittivity of vacuum. If $M=\text{mass},L=\text{length},T=\text{time}$ and $A=\text{electric current}$, then:

A $p-v$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monoatomic gas. The cycle is a rectangle with vertices $(v_0,p_0),(2v_0,p_0),(2v_0,2p_0),(v_0,2p_0)$. The amount of heat extracted from the source in a single cycle is:

A sonometer wire of length $1.5\text{m}$ is made of steel. The tension in it produces an elastic strain of $1\%$. What is the fundamental frequency of steel if density and elasticity of steel are $7.7\times 10^3{\text{kg/m}}^3$ and $2.2\times 10^{11}{\text{N/m}}^2$ respectively?