The electric potential due to an electric dipole

(A) depends on $r$, where $r$ is the magnitude of position vector $\vec r$
(B) depends on the angle between the position vector $\vec r$ and the dipole moment vector $\vec p$
(C) falls off at long distances, as $1/r^2$
(D) does not depend upon the distance separating the charges

Choose the correct answer from the options given below:

(A), (B) and (C) only

The correct answer is Option (2) → (A), (B) and (C) only

The electric potential due to an electric dipole is given by:

$V = \frac{1}{4\pi\varepsilon_0} \frac{p \cos\theta}{r^2}$

Hence,

(A) True — It depends on $r$ (distance from the dipole).

(B) True — It depends on the angle $\theta$ between $\vec{p}$ and $\vec{r}$.

(C) True — It varies inversely as $r^2$.

(D) False — It depends on the distance between charges through $p = q \times 2a$.

Correct options: (A), (B), and (C)