List of top Physics Questions on Electrostatics asked in GUJCET

An electric dipole of dipole moment $\vec{P}$ is placed parallel to the uniform electric field of intensity $\vec{E}$. On rotating it through angle of 90° from this situation, the amount of work done is ______.
The total charge on a uniformly charged spherical shell having radius R is Q. Then electric potential at a distance $r = R/2$ from the centre of the shell ______.
A parallel plate capacitor with air between the plates has a capacitance of 1.0 pF. If the distance between the plates is made doubled and space between them is filled with dielectric substance, the capacitance becomes 2.0 pF. Then the value of dielectric constant of dielectric substance is ______.
Two infinitely long thin straight parallel wires are kept a perpendicular distance $2R$ having uniform linear charge densities $+\lambda$ and $-\lambda$ respectively. The magnitude of electric field at a mid point between two wires will be ______.
If charge $q$ is placed on one of the vertex of a cube, then total electric flux passing through the cube is ______.
A proton and a $\alpha$-particle are placed in uniform electric field. Accelerations produced in them are $a_p$ and $a_\alpha$ respectively. Then $a_p : a_\alpha$ will be ______.