(I) The orange colour of \(\text{Cr}_2\text{O}_7^{2-}\) changes to yellow due to the formation of \(\text{CrO}_4^{2-}\) when treated with an alkali. The alkali provides hydroxide ions that convert dichromate \(\text{Cr}_2\text{O}_7^{2-}\) into chromate \(\text{CrO}_4^{2-}\), which has a yellow colour.
(II) Zinc (Zn), Cadmium (Cd), and Mercury (Hg) are non-transition elements because they do not have partially filled d-orbitals in their stable oxidation states, which is a characteristic feature of transition metals. Zn, Cd, and Hg have full d-orbitals in their stable states.
(III) The high \(E^0\) value for the \(\text{Mn}^{3+}/\text{Mn}^{2+}\) couple indicates that Mn\(^{3+}\) is a strong oxidizing agent. The relatively high positive potential compared to Cr\(^3+\)/Cr\(^2+\) can be attributed to the more effective stabilization of Mn\(^{2+}\) compared to Cr\(^2+\), which makes the Mn\(^{3+}\)/Mn\(^{2+}\) couple more easily reduced.