Explanation:
The concept of continuity is applicable to a function or quantity that can be measured continuously. For example, the temperature, pressure, or electric field can vary continuously with respect to space or time.

Electric Field:
The electric field is a vector quantity that describes the force experienced by a charged particle at a point in space. The electric field is defined as the force per unit charge that would be experienced by a small test charge placed at that point. The electric field is given by the formula E = F/q, where E is the electric field, F is the force, and q is the test charge.

Continuity of Electric Field:
The continuity of the electric field depends on the presence or absence of charges at the point of interest. Let's consider two cases:

Case 1: No Charge at Point of Interest
If there is no charge at the point of interest, the electric field is continuous. This is because the electric field is a result of the distribution of charges in the surrounding space. If there are no charges at the point of interest, the electric field can be defined and measured continuously without any discontinuities.

Case 2: Charge at Point of Interest
If there is a charge at the point of interest, the electric field may not be continuous. This is because the electric field is affected by the presence of charges. The electric field lines emanating from a positive charge and the electric field lines terminating at a negative charge do not cross but terminate or emanate at the charges. The presence of charges can create discontinuities in the electric field.

Conclusion:
Hence, the correct option is D, which states that the electric field is continuous if there is no charge at the point of interest and discontinuous if there is a charge at the point of interest.

Consider electric filed as sun rays when u keep something in between like a block (charge) then rays become discontinuous and when we remove the block the sun rays become continuous . just like that electric field is continuous when there is no charge . and when there is a charge it become disontinuous.