Step 1: Understanding the Concept
The nucleus is the largest organelle in a eukaryotic cell but is still microscopic.
Step 2: Size
Its diameter is a few micrometres. One micrometre is \(10^{-6}\text{ m}\).
Step 3: Compare the options
\(10^{5}\text{ m}\) and \(10^{6}\text{ m}\) are kilometres in size and not possible. \(10^{-5}\text{ m}\) is too large for a typical nucleus.
Final Answer:
The approximate size of a nucleus is \(10^{-6}\text{ m}\).
\[ \boxed{\text{(D) }10^{-6}\text{ m}} \]