The dipole moment of the system is

A particle of mass m and charge q is thrown at a speed u against a uniform electric field E. The distance it travelled before coming to rest will be

Which option is incorrect for electrostatic field?

An electron falls from rest through a vertical distance h in a uniform and vertically upward directed electric field E. The direction of electric field is reversed keeping its magitude the same. A proton is allowed to fall from rest in it same vertical distance h. The time of fall of electron in comparision to the time of proton will be

Three charges + 4q, Q and q are placed in a straight line of length l at points 0, l/2, l respectively. What should be Q in order to make net force on q to be zero?

It is observed that when soap bubble is given positive charge, its radius increases. What will happen to the same soap bubble if it is given equal amount of negative charge instead of positive charge?

A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then line outward electric flux will be

The electric field at a distance 3 R/2 from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R/2 from the centre of the sphere is

Figure shows the electric lines for force emerging from a charged body. If electric field at A and B are E_A and E_B respectively and distance between A and B is r then

Six point charges are placed at the vertices of a hexagon of side 1 m as shown in the figure. Net electric field at the centre of the hexagon is

A charge Q is uniformly distributed over a rod of length 2 l. Consider cube of edge l with the centre of cube at the end of the rod. The minimum possible electric flux through the surface of the cube is

Which of the following is true about the electric field?

Gauss's law can help in easy calculation of electric field due to

When the velocity of a relativistic charged particle increases its specific charge

What is the flux through a cube of side a if a poing charge is at one of its corner?

The electric field in a certain region is acting radilly outward and it is given by E = A r. A charge contained in a sphere of radius a centred at the origin of the field will be given by

An electron with a speed of 5 x 10⁶ m/s enter an electric field of magnitude 1000 V/m travelling along the field lines in the direction that retards its motion. If the region where electric field exist is 8 mm long (too short for the electron to stop within it), what fraction of the initial kinetic energy will be lost in that region?

Five-point charges each of value + q are placed on five vertices of a regular hexagon of side a metre. What is the magnitude of the force on a point charge of value - q C placed at the centre of the hexagon?

An alpha particle with K.E 10 MeV is heading towards a stationary tin nucleus of atomic number 50. Calculate the distance of the closest approach. They were initially far apart.

An electric dipole is placed perpendicular to an infinite line of charge at some distance as shown in the figure. Identify the correct statement.

Three-point charges of 1 C, 2 C and 3 C are placed at the corners of the equalateral triangle of side 1 m. Calculate the work required to move these charges to the corners of a smaller equalateral triangle of side 0.5 m.

If the potential at the centre of uniformly charged hollow sphere of radius R is V, then electric field at a distance r from the centre of the sphere will be ( r> R) according to the figure

Two identical beads each have a mass m and charge q. When placed hemispherical bowl of radius R with frictionless, non-conducting walls. The beads move due to force and at equillibrium they are R distance apart according to the figure. Determine the charge on each bead.

An electric dipole is placed at a distance x from the centre O on the axis of a charged ring of radius R and charge Q uniformly distributed over it as shown in the figure. The work done in rotating the dipole through 180 ⁰ is

If the electric potential of the inner shell is 10 V and that of outershell is 5 V, then the potential at the centre will be

Initially the sphere A and B are at potential V_A and V_B respectively. Now sphere B is earthened by closing the switch as shown in the figure. The potential of A will now becomes

A uniform electric field of 400 V/m is directed at 45⁰ above the x axis as shown in the figure. The potential differece V_A - V_B is given by