Electrostatic potential energy of given system will be
$\frac{{k{Q^2}}}{a} \times 10$
$24\frac{{k{Q^2}}}{a}$
$\frac{{k{Q^2}}}{a}\left( {24 + \frac{{11}}{{\sqrt 2 }}} \right)$
$12\frac{{k{Q^2}}}{a}$
A positive point charge is released from rest at a distance $r_0$ from a positive line charge with uniform density. The speed $(v)$ of the point charge, as a function of instantaneous distance $r$ from line charge, is proportional to
A particle has a mass $400$ times than that of the electron and charge is double than that of a electron. It is accelerated by $5\,V$ of potential difference. Initially the particle was at rest, then its final kinetic energy will be......$eV$
For an infinite line of charge having charge density $\lambda $ lying along $x-$ axis, the work required in moving charge $q$ from $C$ to $A$ along arc $CA$ is :-
Kinetic energy of an electron accelerated in a potential difference of $100\, V$ is
A particle of mass $m$ and charge $q$ is kept at the top of a fixed frictionless sphere. $A$ uniform horizontal electric field $E$ is switched on. The particle looses contact with the sphere, when the line joining the center of the sphere and the particle makes an angle $45^o$ with the vertical. The ratio $\frac{qE}{mg}$ is :-