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Electrostatics Quiz

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Question 1

Shown in the figure are two point charges +Q and -Q inside the cavity of a spherical shell. The charges are kept near the surface of the cavity on opposite sides of the centre of the shell. If is the surface charge density on the inner surface and net charge on it and the surface charge density on the outer surface and net charge on it then:

Question 2

Within a spherical charge distribution of charge density ρ(r), N equipotential surfaces of potential are drawn and have increasing radii r0, r1, r2,..........rN, respectively. If the difference in the radii of the surfaces is constant for all values of and then:

Question 3

A cone of base radius R and height h is located in a uniform electric field parallel to its base. The electric flux entering the cone is :

Question 4

An electric field in a region of space. If the potential at the origin is taken to be zero then the potential atis:

Question 5

The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains charge, its radius will be

Question 6

Let be the charge density distribution for a solid sphere of radius R and total charge Q. For a point 'p' inside the sphere at distance r1 from the centre of sphere, the magnitude of electric field is

Question 7

Two thin wires rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +Q and -Q. The potential difference between the centres of the two rings is

Question 8

If a charge q is placed at the centre of the line joining two equal charges Q such that the system is in equilibrium then the value of q is :

Question 9

A wire, of length , is bent into a semi-circular arc. If the two equal halves, of the arc, were each to be uniformly charged with charges[ Coulomb where is the permittivity (in SI units) of free space] the net electric field at the centre O of the semi-circular arc would be:

Question 10

Four closed surfaces and corresponding charge distributions are shown below.

Let the respective electric fluxes through the surfaces be. Then:

Question 11

In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as a function of distance from the centre. The graph which would correspond to the above will be

Question 12

The space between the plates of a parallel plate capacitor is filled with a ‘dielectric’ whose ‘dielectric constant’ varies with distance as per the relation:

The capacitance C, of this capacitor, would be related to its ‘vacuum’ capacitance CO as per the relation:

Question 13

A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20 V. If a dielectric material of dielectric constant is inserted between the plates, the magnitude of the induced charge will be

Question 14

Two identical particles of mass m and charge q are shot at each other from a very great distance with an initial speed v. The distance of closest approach of these charges is

Question 15

An electric dipole has a fixed dipole moment , which makes angle θ with respect to x-axis. When subjected to an electric field ,it experiences a torque . When subjected to another electric field , it experiences a torque  .The angle  is
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Jun 3JEE & BITSAT