A point Q lies on the perpendicular bisector of an electric dipole of dipole moment p. If the distance of Q from the dipole is r, (much larger than the size of the dipole) then electric field at Q is proportional to
p-1 and r2
p and r-2
p2 and r-3
p and r-3
A cylinder of radius R and length L is placed in a uniform electric field E parallel to the axis of the cylinder. The total flux from the surface of cylinder is given by
2pR2E
Zero
A hollow insulated conducting sphere is given a positive charge of 10μC. What will be the electric field at the centre of the sphere if its radius is 2 m?
zero
5 μCm-2
20 μCm-2
8 μCm-2
The study of the effects associated with electric charges at rest is called
electromagnetism
electrostatics
magnetostatics
none of these
Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire then the equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B is
4 : 1
1 : 2
2 : 1
1 : 4
In bringing an electron towards another electron, the electrostatic potential energy of the system
decreases
increases
remains same
becomes zero
The length of a given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter the change in the resistance of the wire will be
200%
100%
50%
300%
Two equally charged small balls A and B, placed at a fixed distance experience a force F. A similar uncharged ball C after touching one of them is placed at a middle point between the two balls. The force experienced by ball A, is
2F
4F
A 100 μF capacitor is charged to a potential difference of 50 V, the charging battery then being disconnected. The capacitor is then connected to a second capacitor. If the measured potential difference drops to 35 V, the capacitance of the second capacitor is
52 μF
37 μF
59 μF
43 μF
Intensity of an electric field (E) depends on distance r due to a dipole, is related as
E α 1/r
E α 1/r2
E α 1/r3
E α 1/r4