Physics · Electrostatic Potential

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The electric field \( E \) at any point is related to potential \( V \) by \( E = -\frac{dV}{dr} \), meaning the electric field points in the direction of increasing potential. Reason (R): Work done by the electric field on a positive charge moving along the field decreases its potential energy. In the light of the above statements, choose the correct answer from the options given below:

1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false but (R) is true.