Embibe Experts Solutions for Chapter: Electrostatics, Exercise 1: BITSAT 2017

Two electrons are moving with equal speed of $5\times {10}^5 \mathrm{m} {\mathrm{s}}^{-1}$ parallel to each other. The ratio of the electrostatic to the magnetic force between them is

In the following figures, which figure represents the variation of the electric field with distance from the centre of a uniformly charged non-conducting spheres of radius $R$ ?

A parallel plate capacitor $C$ with plates of unit area and separation $d$ is filled with a liquid of dielectric constant $K=2$, the level of liquid is$\frac{d}{3},$initially. 
Suppose, the liquid level decreases at a constant speed $v$, the time constant as a function of time is

Two metal plates having a potential difference of $800 \mathrm{V}$ are $2 \mathrm{cm}$ apart. It is found that a particle of mass $1.96\times {10}^{-15} \mathrm{kg}$ remains suspended in the region between the plates. The charge on the particle must be ($e=$ elementary charge)

Three charges are placed at the three vertices of an equilateral triangle of side $a$ as shown in the figure. The force experienced by the charge placed at the vertex $A$ in a direction normal to $BC$ is

In the given circuit diagram,

$E=5 \mathrm{V}, r=1 \mathrm{\Omega }, R_2=4 \mathrm{\Omega }, R_1=R_3=1 \mathrm{\Omega }$ and $C=3 \mu \mathrm{F}$

Then, what will be the numerical value of charge on each plates of the capacitor.

A parallel plate capacitor with air between the plates has a capacitance of $9 \mathrm{pF}$. The separation between the plates is $d$. The space between the plates is now filled with two dielectrics constant $K_1=3$ and thickness $\frac{d}{3}$ while the other one has dielectric constant $K_2=6$ and thickness $\frac{2d}{3}$. Capacitance of the capacitor is now