A thin metallic spherical shell contains a charge +10 μC on it. A point charge +2 μC is placed at the centre of the shell and another charge +5 μC is placed outside it as shown. The force on the charge +2 μC at the centre is:
Zero
The charge +2 μC at the center of the metallic spherical shell induces an equal and opposite charge (-2 μC) on the inner surface of the shell. However, the shell itself has a net charge of +10 μC, which is distributed uniformly on the outer surface. Since the shell is conducting and spherical, it produces no electric field inside, meaning the charge +2 μC experiences no force. Thus, the net force on the charge at the center is zero.
When a slab of insulating material 4 mm thick is introduced between the plates of a parallel plate capacitor of separation 4 mm, it is found that the distance between the plates has to be increased by 3.2 mm to restore the capacity to its original value. The dielectric constant of the material is:
Match List - I with List - II.
| List - I | List - II |
|---|---|
| (A) Electric Field | (I) [LTA] |
| (B) Electric Flux | (II) [L2] |
| (C) Electric Dipole Moment | (III) [ML3T−3A−1] |
| (D) Area Vector Element | (IV) [MLT−3A−1] |
Choose the correct answer from the options given below:
In the figure, an α-particle moves a distance l in a uniform electric field E as shown. Does the Electric Field do a positive or a negative work on the α-particle? Does the electric potential energy of the α-particle increase or decrease?

The force between two electric charges is expressed by the equation:
F = (k q1 q2) / r2
Which of the following is a correct statement?
Electrostatics deals with the study of forces, fields, and potential arising from static charges. Which of the following statements are correct?
Choose the correct answer from the options given below: