Question

In space two point charges are placed as shown in fig. The electric field line at point p may be in direction:

A) South
B) Southwest
C) Northeast
D) West.

Answer 1

Hint- The electric field in a region can be explained by drawing imaginary curves known as electric field lines or electric force. An electric field lines are an imaginary path along which a small positive test charge would move if it was free to do so.

Complete step by step answer:
There are many properties of electric field lines, in that here we will be using,
The lines that are coming out of the field will diverge out from positive charge and converge into negative charge.
In the question,$- q$ is the negative charge therefore, field lines are pointing towards $- q$or going away from point $p$. And point $p$ is a unit positive charge is also called a test charge. Test charge is used to detect the presence of electric fields. There is one more charge +q which positive charge, in which field lines are moving away from $+ q$.
From the given question we can draw a field lines as:

Electric field lines for $- q$ is directed towards itself means far away from point $p$. And for $+ q$is directed away from itself. So, the resultant electric field will lie in the north-east direction.

therefore the Correct option is (C).

Notes : The number of field lines emerging from a positive charge is proportional to the magnitude of the charge. The field lines point in the direction of the electric field. The field lines may be straight or curved. The direction of electric field e at any point is given by the direction of tangent to the field line at that point. In a uniform electric field, the field lines will be equidistant, parallel and straight lines. The separation of neighboring field lines indicates the electric field strength in that region. If the field lines are close together, the electric field in that region is relatively strong; if the field lines are far apart, the field is weak.