A vector field F is shown Use the interpretation of divergen

A vector field F is shown. Use the interpretation of divergence derived in this section to determine whether div F is positive or negative at P_1 and at P_2. div F is positive at P_1 and negative at P_2. div F is positive at both P_1 and P_2. div F is negative at P_1 and positive at P_2. div F is negative at both P_1 and P_2.

Solution

The field is entering at P2, hence the div F at P2 will be negative

Similarly, the field is going outwards from the point P1, hence the divergence of the field F at point P1 will be positive

Hence the correct answer is Option A