Concept:
The principal accessories of a plane table include the alidade, trough compass, plumbing fork (U-frame), and spirit level. A vernier arm is associated with instruments such as the theodolite and sextant, not with plane table surveying.
Step 1: Identify the plane table accessories.
\[
\begin{aligned}
\text{Alidade} &\rightarrow \text{Used for sighting and drawing rays},
\text{Trough Compass} &\rightarrow \text{Used for orientation},
\text{U-frame (Plumbing Fork)} &\rightarrow \text{Used for centering the table}.
\end{aligned}
\]
Step 2: Identify the instrument not associated with plane table surveying.
\[
\boxed{\text{Vernier Arm}}
\]
Hence,
\[
\boxed{\text{(A)}}
\]