Step 1: Recall the composition of ruby.
Ruby is a gemstone consisting of aluminium oxide (Al2O3, corundum) with a small amount (0.5-2%) of Cr2O3 as an impurity. The Cr3+ ions replace Al3+ in the crystal lattice and are responsible for the characteristic deep red color.
Step 2: Recall the composition of emerald.
Emerald is a variety of beryl (Be3Al2Si6O18) with Cr2O3 as an impurity. Cr3+ ions replace Al3+ in the beryl structure and impart the characteristic deep green color.
Step 3: Identify the common metal ion.
Both ruby and emerald contain Cr3+ (chromium in the +3 oxidation state) as the chromophore (color-giving ion). Despite having the same Cr3+ ion, they appear different colors (red vs green) due to different crystal field environments.
Step 4: Explain why the colors differ despite same Cr3+.
The crystal field splitting energy ($\Delta_o$) depends on the ligands and geometry. In ruby (Al2O3), Cr3+ is surrounded by O2- with one splitting; in emerald (beryl), slightly different coordination environment shifts the absorption band, changing the transmitted color.
Step 5: Confirm Cr3+ is the answer.
No other transition metal ion is common to both ruby and emerald. Mn2+, Fe3+, etc. are found in other minerals but not in both of these specific gemstones.
Step 6: Conclusion.
Cr3+ is the metal ion present in both ruby (Al2O3 matrix) and emerald (Be3Al2Si6O18 matrix).
\[ \boxed{Cr^{3+} \text{ (option 2)}} \]