Electrostatics NAT Level - 1 - IIT JAM MCQ

At distance of 5cm and 10cm outwards from the surface of a uniformly charged solid sphere, the potentials are 100V and 75V respectively. Then charge on the sphere is   Find the Value of  α.

Two positive point charges each of magnitude 10C are fixed at positions A and B at a separation 2d = 6m.  A negatively charged particle of mass m = 90gm and charge of magnitude 10 × 10^–5C  is revolving in a circular path of radius 4m in the plane perpendicular to the line AB and bisecting the line AB. Neglect the effect of gravity. If the angular velocity of the particle is  Then the value of α (in rad/sec) is :

Eight point charges (can be assumed as small sphere uniformly charged and their centres at the corner of the cube) having values q each are fixed at vertices of a cube. The electric flux through square surface ABCD of the cube is  Find the value of α

Figure given, shows a closed Gaussian surface in the shape of a cube of edge length 3.0m. There exists an electric field given by where x is in metres, in the region in which it lies. The net charge in coulombs enclosed by the cube is equal to α∈₀. Find the value of α.

A square loop of side ℓ having uniform linear charge density λ is placed in xy plane as shown in the figure. There is a non-uniform electric field where a  is a constant. Then resultant electric force on the loop if ℓ = 10 cm, a = 2N/C and charge density λ = 2μC/m is  Find the value of α.

On moving a charge of 20coulombs by 2cm, 2J of work is done, then the potential difference (in Volts) between the points is :

The magnitude of electric field intensity at point (2, 0, 0) due to a dipole moment, kept at origin is αk [where k = 1/π ∈₀]. Find the value of α.