An electrostatic field line cannot be discontinsous. Why ?

Define electric field lines.

An electrostatic line of force is a continuous curve that is, it cannot have sudden breaks. Why is it so?

Why do the electrostatic field lines not form closed loops?

Define electrostatic force.

Two point A and B are situated at distance 1 m and 2m form the source of an electrostatic field. The field at a distance x from the source is E = (5)/(x^2) . What is the potential difference between A and B?

No two electric field lines can intersect each other. Why?

An electron travelling west to east enters a chamber having u uniform electrostatic field in the north to south direction. Specify the direction in which a uniform magnetic field should be set up to prevent the electron from deflection from is straight line path.

A magnetic field, set up using Helmhotlz coils, is uniform, in a small region and has a magnitude of 0.75t . In the same region, a uniform electrostatic field is maintained in a direction normal to the common axis of the coils. A narrow beam of (sinle species) charged particles, all accelerated through 15KV, enters this region in direction perpendicular to both the axis of the coils and the electrostatic field. if the beam remains undeflected when the electrostatic field is 9.0xx10^(5)V*m^(-1) , make a simple guess as to what the beam contains. Why is the answer not unique ?