Five indentical capacitor plates, each of area $A,$ are arranged such that adjacent plates are at distance $d$ apart. The plates are connected to a source of $emf$ $V$ as shown in fig. Then the charges $1$ and $4$ are, respectively :-
${ \in _0}AV/d,\,2{ \in _0}AV/d$
$2{ \in _0}AV/d,\,-2{ \in _0}AV/d$
${ \in _0}AV/d,\,-2{ \in _0}AV/d$
${ \in _0}AV/d,\,-{ \in _0}AV/d$
Two equal charges are separated by a distance $d$. A third charge placed on a perpendicular bisector at $x$ distance will experience maximum coulomb force when
A parallel plate capacitor with air between the plates has a capacitance of $9\ pF$ . The separation between its plates is $ 'd'$ .The space between the plates is now filled with two dielectrics. One of the dielectric has dielectric constant $K_1 = 6$ and thickness $\frac {d}{3}$ while the other one has dielectric constant $K_2 = 12$ and thickness $\frac {2d}{3}$ . Capacitance of the capacitor is now ......... $pF$
The work done required to put the four charges together at the corners of a square of side $a$ , as shown in the figure is
When a proton is accelerated through $1\,V,$ then its kinetic energy will be........$eV$
A particle of charge $Q$ and mass $m$ travels through a potential difference $V$ from rest. The final momentum of the particle is