A particle of charge $Q$ and mass $m$ travels through a potential difference $V$ from rest. The final momentum of the particle is
$\frac{{mV}}{Q}$
$2Q\sqrt {mV} $
$\sqrt {2mQV} $
$\sqrt {\frac{{2QV}}{m}} $
Four dipoles having charge $ \pm e$ are placed inside a sphere. The total flux of ${\vec E}$ coming out of the sphere is
Three equal charges are placed at the corners of an equilateral triangle. Which of the graphs below correctly depicts the equally-spaced equipotential surfaces in the plane of the triangle? (All graphs have the same scale.)
A charge $q$ is placed at $O$ in the cavity in a spherical uncharge $d$ conductor. Point $S$ is outside the conductor. If the charge is displaced from $O$ towards $S$ still remaining with in the cavity,
If the electric flux entering and leaving an enclosed surface respectively is ${\phi _1}$ and ${\phi _2}$ the electric charge inside the surface will be
Charge $q$ is uniformly distributed over a thin half ring of radius $R$. The electric field at the centre of the ring is