Two identical charged spheres suspended from a common point by two massless strings of lengths $l$ , are initially at a distance ${\rm{d(d}}\, < \, < \,l)$ apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity $\upsilon .\,{\rm{Then}}\,\upsilon$ varies as a function of the distance $x$ between the spheres, as

A charged water drop whose radius is $0.1\;\mu m$ is in equilibrium in an electric field. If charge on it is equal to charge of an electron, then intensity of electric field will be $\left( {g = 10m{s^{ - 1}}} \right)$

A proton and an electron are released from rest in a uniform electric field. Which particle will experience a greater magnitude of acceleration?

$A,B,C$, are three points on a circle of radius $1\,\,cm$. These points from the corners of an equilateral triangle. A charge $2C$ is placed at the centre of the circle. The work done in carrying a charge of $0.1\,\mu C$ from $A$ to $B$ is

A proton enters a uniform electric field $E$ with velocity $v$ parallel to the field. What will be the path followed by the proton?

An electron is moving towards $x -$axis. An electric field is along $y -$direction then path of electron is

Under the action of a given coulombic force the acceleration of an electron is $2.5 imes {10^{22}}{\rm{m}}/{{\rm{s}}^2}.$ Then the magnitude of acceleration of a proton under the action of same force is nearly

An electron of mass “M” kg and charge “e” coulomb travels from rest through a potential difference of “V” volt. The final velocity of electron is (in m/s)

An electron falls from rest through a vertical distance ${\rm{h}}$ in a uniform and vertically upward directed electric field ${\rm{E}}$.The direction of electric field is not reversed, keeping its magnitude the same. A proton is allowed to fall from rest inits through the same vertical distance ${\rm{h}}$. the time of fall of the electron, in comparison to the time of fall of the protonof

An electron of mass $'m'\,\,kg$ and charge $'e'$ coulomb travels from rest through potential difference of $'V'$ volt. The final velocity of the electron is $\left( {in\,\,m/s} \right)$

The magnitude of electric field intensity $E$ is such that, an electron placed in it would experience an electrical force equal to its weight is given by