The compound \([ \text{Ni}(\text{H}_2\text{O})_6 ]^{2+}\) appears green due to d-d transitions in the visible spectrum.
\([ \text{Ni}(\text{CN})_4 ]^{2-}\) is diamagnetic and does not exhibit any d-d transitions, rendering it colourless.
Thus, the correct answer is option 2.