Embibe Experts Solutions for Exercise 8: Assignment Set-2

In the following figure, if magnitude of force between $B$ and $C$ is $F$, then magnitude of force between $A$ and $B$ is $nF.$ The value of $n$ is _____.

Five identical charges $+q$ are placed at five corner of a regular hexagon of side $a.$ The magnitude of electric field at centre is $\frac{q}{n\pi {\epsilon }_0{a}^2}.$ The value of $n$ is _____.

The electric field at point $O$, due to the segment of a ring, whose linear charge density is $8 \mathrm{C} {\mathrm{cm}}^{–1}$ is $n\times {10}^{13} \mathrm{V} {\mathrm{m}}^{–1}.$ The value of $n$ is _____.

The magnitude of dipole moment of the following system is $\sqrt{n}qa$. The value of $n$ is _____.

Two short dipoles, each of dipole moment $p$, are placed at origin. The dipole moment of one dipole is along $x$-axis, while that of other is along $y$-axis. The electric field at a point $\left(a, 0\right)$ is given by $\frac{\sqrt{n}p}{4\pi {\epsilon }_0{a}^3}·$ The value of $n$ is _____.

If the electric field is given by $3\hat{i}+2\hat{j}+6\hat{k}.$ The electric flux through a surface area $20$ unit lying in $xy$ plane is $n$ unit. The value of $n$ is _____.

A tiny spherical oil drop carrying a net charge $q$ is balanced in still air with a vertical uniform electric field of strength $\frac{81\pi }{7}\times {10}^5 {\mathrm{Vm}}^{-1}.$ When the field is switched off, the drop is observed to fall with terminal velocity $2\times {10}^{-3}{ \mathrm{ms}}^{-1}.$ Given $g=9.8{ \mathrm{ms}}^{-2}$, viscosity of the air $=1.8\times {10}^{-5} \mathrm{Ns} {\mathrm{m}}^{-2}$ and the density of oil $=900 \mathrm{kg}{ \mathrm{m}}^{-3}$, the magnitude of $q$ is $n\times {10}^{-19} \mathrm{C}.$ The value of $n$ is _____.

Consider an electric field $\overrightarrow{E}=E_0\hat{x}$, where $E_0$ is a constant. The flux through the shaded area (as shown in the figure) due to this field is $n{E}_0{a}^2.$ The value of $n$ is _____.