Step 1: Check each statement
(a) Work along an equipotential surface is \(W=q\Delta V=0\). The statement says it is not zero, so (a) is false.
(b) True by definition.
(c) True: in a uniform field the surfaces are parallel planes with equal spacing for equal potential steps.
(d) True: the field is perpendicular to the surface.
Step 2: Result
The false statement is (a), which is option (B).
Final Answer:
Statement (a) is not true, option (B).
\[ \boxed{\text{(B)}} \]