Concept:
The electric field is related to the potential gradient by
\[
E=-\frac{dV}{dr}
\]
Thus, electric field strength is equal to the rate of change of potential with distance.
Step 1:Relate spacing of equipotential surfaces with electric field.
For a given potential difference,
\[
E=\frac{\Delta V}{\Delta r}
\]
Hence,
\[
E\propto\frac{1}{\Delta r}
\]
where \(\Delta r\) is the separation between adjacent equipotential surfaces.
Step 2: Analyse regions of strong electric field.
If the electric field is large,
\[
E \uparrow
\]
then
\[
\Delta r \downarrow
\]
Therefore, equipotential surfaces are closer together.
\[
{\text{Statement (A) is true.}}
\]
Step 3: Check the remaining statements.
Statement (B) is opposite to the correct relation.
\[
{\text{Statement (B) is false.}}
\]
Equipotential surfaces are not always spherical.
\[
{\text{Statement (C) is false.}}
\]
Their spacing depends on the electric field and is generally not uniform.
\[
{\text{Statement (D) is false.}}
\]
Step 4: State the answer.
\[
{
\text{Equipotential surfaces are closer in regions of stronger electric field.}
}
\]
Hence, the correct option is
\[
{(A)}
\]