Medium level questions

## Electric Charges And Fields

- Want to practice more questions? Here are the Medium level questions
1

Two identical charged spheres are suspended by strings of equal length and the strings make certain angle with each other. When suspended in a liquid of density , the angle between the threads remains the same. If the density of the material of the sphere is  , the dielectric constant of the liquid:

A
B
C
D
Two charges    and    are placed fixed on  -axis separated by distance    Where should a third charge    be placed such that it will not experience any force?

There is a uniform electric field of strength along . A body of mass and charge is projected into the field from origin along the positive with a velocity . Its speed in m/s after is (neglect gravitation) :

A
B
C
D
An electric dipole is placed in an electric field generated by a point charge.
A
The net electric force on the dipole must be zero.
B
The net electric force on the dipole may be zero.
C
The torque on the dipole due to the field must be zero.
D
The torque on the dipole due to field may be zero.
Two point dipoles and are located at (0,0,0) and (1m,0,2m). Find the field at the point (1,0,0).
A
B
C
D
none of these

A charge of is palced at the origin. The eletric field(in N/C) at cm due to it, is:

A
B
C
D
A hemisphere body of radius is placed in a uniform electric field . What is the flux linked with the curved surface if the field is perpendicular to the base?
A
B
C
D
The electric field components in figure are Calculate the net flux through the cube.
A
B
C
D
A sphere of radius R carries charge such that its volume charge density is proportional to the square of the distance from the center. What is the ratio of the magnitude of the electric field at distance 2R from the center to the magnitude of the electric field at a distance of R/2 from the center?
A
1
B
2
C
4
D
8

A cubical Gaussian surfaces encloses per unit permittivity of charge. The electric flux through each face of the cube is

A
B
C
D