An electron moving with the speed $5 \times {10^6}$ per sec is shooted parallel to the electric field of intensity $1 \times {10^3}\,N/C$. Field is responsible for the retardation of motion of electron. Now evaluate the distance travelled by the electron before coming to rest for an instant (mass of $e = 9 \times {10^{ – 31}}\,Kg.$ charge $ = 1.6 \times {10^{ – 19}}\,C)$

An electric line of force in $X$, $Y-$ plane is given by $x^2+y^2 = 1$. A particle with unit positive charge, initially at rest at the point $x = 1, y = 0$ in the $X, Y-$ plane

Two identical positive charges are fixed on the $y$ -axis, at equal distances from the  origin $O$. A particle with a negative charge starts on the $x$ -axis at a large distance  from $O$, moves along the $+ x$ -axis, passes through $O$ and moves far away from $O$. Its acceleration $a$ is taken as positive in the positive $x$ -direction. The particle’s  acceleration a is plotted against its $x$ -coordinate. Which of the following best represents  the plot?

A charged particle of mass $m$ and charge $q$ is released from rest in a uniform electric field $E.$ Neglecting the effect of gravity, the kinetic energy of the charged particle after ‘$t$’ second is

An electron is projected in the direction of electric field. Just after projection of electron