AIEEE 2008 PYQ Mock Test

A body starts from rest at $x=0,t=0$ with constant acceleration $a$. Simultaneously another body passes $x=0$ with constant speed $v$. The position of the first is $x_1(t)$ and the second is $x_2(t)$. Which graph describes $(x_1-x_2)$ vs $t$?

An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment, distances are measured by:

A thin spherical shell of radius $R$ has charge $Q$ spread uniformly. Which graph represents the electric field $E(r)$ for $0\le r<\infty$?

A $5\text{V}$ battery ($2\Omega$ internal resistance) and a $2\text{V}$ battery ($1\Omega$ internal resistance) are connected in parallel to a $10\Omega$ resistor. The current in the $10\Omega$ resistor is:

A horizontal power line at height $4\text{m}$ carries $100\text{A}$ current from East to West. The magnetic field directly below it on the ground is (${\mu }_0=4\pi \times 10^{-7}\text{Tm/A}$):