Questions in electrostatics

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At a point 20 cm from the centre of a uniformly charged dielectric sphere of radius 10 cm, the electric field is 100 V/m. The electric field at 3 cm from the centre of the sphere will be
Charges 4Q, q and Q and placed along x-axis at positions $x = 0,x = l/2$ and $x = l$, respectively. Find the value of q so that force on charge Q is zero
If an electron moves from rest from a point at which potential is 50 volt to another point at which potential is 70 volt, then its kinetic energy in the final state will be
In the following diagram the work done in moving a point charge from point P to point A, B and C is respectively as WA, WB and WC , then
A hollow metallic sphere of radius R is given a charge Q. Then the potential at the centre is
An electric dipole when placed in a uniform electric field $E$ will have minimum potential energy, if the positive direction of dipole moment makes the following angle with $E$
A given charge is situated at a certain distance from an electric dipole in the end-on position experiences a force F. If the distance of the charge is doubled, the force acting on the charge will be
The electric potential at a point on the axis of an electric dipole depends on the distance $r$ of the point from the dipole as
An electric dipole of moment $p$ is placed in the position of stable equilibrium in uniform electric field of intensity $E$. It is rotated through an angle $\theta $ from the initial position. The potential energy of electric dipole in the final position is
An electric dipole is kept in non-uniform electric field. It experiences

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