Consider the configuration of a system of four charges each of value $+q$ . The work done by external agent in changing the configuration of the system from figure $(1)$ to figure $(2)$ is
$\frac{{k{q^2}}}{a}\left( {3 - \sqrt 2 } \right)$
$\frac{{ - k{q^2}}}{a}\left( {3 + \sqrt 2 } \right)$
$\frac{{k{q^2}}}{a}\left( {3 + \sqrt 2 } \right)$
$\frac{{ - k{q^2}}}{a}\left( {3 - \sqrt 2 } \right)$
Choose the $CORRECT$ option
Mass of charge $Q$ is $m$ and mass of charge $2Q$ is $4\,m$ . If both are released from rest, then what will be $K.E.$ of $Q$ at infinite separation
Kinetic energy of an electron accelerated in a potential difference of $100\, V$ is
A solid sphere of radius $R$ carries a charge $(Q+q)$ distributed uniformly over its volume. A very small point like piece of it of mass $m$ gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries charge $q.$ If it acquires a speed $v$ when it has fallen through a vertical height $y$ (see figure), then :
(assume the remaining portion to be spherical).
A positively charged ring is in $y-z$ plane with its centre at origin. A positive test charge $q_0$, held at origin is released along $x$-axis, then its speed