Two opposite and equal charges $4 \times {10^{ - 8}}\, coulomb$ when placed $2 \times {10^{ - 2}}\,cm$ away, form a dipole. If this dipole is placed in an external electric field $4 \times 10^8\, newton / coulomb$ , the value of maximum torque and the work done in rotating it through $180^o$ will be
$64 \times {10^{ - 4}}\,Nm$ and $64 \times {10^{ - 4}}\,J$
$32 \times {10^{ - 4}}\,Nm$ and $32 \times {10^{ - 4}}\,J$
$64 \times {10^{ - 4}}\,Nm$ and $32 \times {10^{ - 4}}\,J$
$32 \times {10^{ - 4}}\,Nm$ and $64 \times {10^{ - 4}}\,J$
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 dielectrics has dielectric constant $K_1=3$ and thickness $\frac{d}{3}$ while the other one has dielectric constant $K_2 = 6$ and thickness $\frac{2d}{3}$. Capacitance of the capacitor is now....$pF$
What is the angle between the electric dipole moment and the electric field strength due to it on the equatorial line.......$^o$
A charge $Q$ is distributed over two concentric conducting thin spherical shells radii $r$ and $R$ $( R > r ) .$ If the surface charge densities on the two shells are equal, the electric potential at the common centre is
A charged particle $'q'$ is shot from a large distance with speed $v$ towards a fixed charged particle $Q$. It apporaches $Q$ upto a closet distance $r$ and then returns. If $q$ were given a speed $'2v$', the closest distance of approach would be
A given charge is situated at a certain distance from an electric dipole in the axial position experiences a force $F$ . If the distance of the charge is doubled, the force acting on the charge will be