Identify the incorrect statement(s) among the following.

(A) Two electric field lines of forces never intersect each other.
(B) Two opposite charges, each of $10×10^{-9} C$, are separated by a distance of 5 mm. The magnitude of the dipole moment is $5×10^{-11} Cm$
(C) Electric field intensity at a point due to a single charge varies inversely as the square of the distance from the charge, whereas electric field intensity due to an electric dipole varies inversely as the cube of the distance of the point,
(D) Electric field intensity due to an electric dipole has a spherical symmetry around it in space.

Choose the correct answer from the options given below:

(D) only

The correct answer is Option (4) → (D) only

(A) Correct — two electric field lines never intersect, otherwise the field direction would be ambiguous.

(B) Correct — dipole moment $p = q \times d$.

$q = 10 \times 10^{-9} = 1 \times 10^{-8} \, C$, $d = 5 \times 10^{-3} \, m$

$p = (1 \times 10^{-8})(5 \times 10^{-3}) = 5 \times 10^{-11} \, C m$ ✅

(C) Correct — field due to point charge $\propto \frac{1}{r^2}$, field due to dipole $\propto \frac{1}{r^3}$.

(D) Incorrect — dipole field is not spherically symmetric, it has axial symmetry.

Answer: (D)