Match List - I with List - II Choose the correct answer from the options given below:
(D) OR Gate (IV)
The correct matching is as follows: (A)-(III), (B)-(I), (C)-(IV), (D)-(II). The NAND gate corresponds to the third figure, the NOR gate corresponds to the first figure, the NOT gate corresponds to the fourth figure, and the OR gate corresponds to the second figure.
Two charged particles, placed at a distance d apart in vacuum, exert a force F on each other. Now, each of the charges is doubled. To keep the force unchanged, the distance between the charges should be changed to:
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:
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:

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?
