To identify aqueous ions with matching colors, we examine the characteristic colors of transition metal ions, which arise from d-d electron transitions. The colors of the ions in each provided option are analyzed:
- \(V^{2+}\), \(Cr^{3+}\), \(Mn^{3+}\):
- \(V^{2+}\): Pale violet or lavender.
- \(Cr^{3+}\): Predominantly green in aqueous solutions, but can also be violet depending on ligands.
- \(Mn^{3+}\): Frequently pale purple.
- \(Zn^{2+}\), \(V^{3+}\), \(Fe^{3+}\):
- \(Zn^{2+}\): Colorless (not a transition metal).
- \(V^{3+}\): Typically green.
- \(Fe^{3+}\): Usually yellow or brown in water.
- \(Ti^{4+}\), \(V^{4+}\), \(Mn^{2+}\):
- \(Ti^{4+}\): Colorless (not a transition metal).
- \(V^{4+}\): Typically blue.
- \(Mn^{2+}\): Pale pink.
- \(Sc^{3+}\), \(Ti^{3+}\), \(Cr^{2+}\):
- \(Sc^{3+}\): Colorless.
- \(Ti^{3+}\): Purple.
- \(Cr^{2+}\): Blue.
Based on this analysis, the first option is correct, as \(V^{2+}\), \(Cr^{3+}\), and \(Mn^{3+}\) can exhibit similar shades of violet and purple. The identified set is:
\(V^{2+}\), \(Cr^{3+}\), \(Mn^{3+}\)