To understand this question, we need to look at the redox reaction between permanganate ion \( \text{MnO}_4^- \) and iodide ion \( \text{I}^- \) in an alkaline medium.
The permanganate ion acts as a strong oxidizing agent. In an alkaline medium, it can oxidize iodide ions to iodate ions according to the balanced chemical equation:
\[2 \text{MnO}_4^- + \text{I}^- + \text{H}_2\text{O} \rightarrow 2 \text{MnO}_2 + \text{IO}_3^- + 2 \text{OH}^-\]This reaction shows that in an alkaline medium, \( \text{I}^- \) is oxidized to \( \text{IO}_3^- \) (iodate ion) when reacted with permanganate ion. The presence of hydroxide ions from the alkaline medium helps stabilize the formation of manganese dioxide (\( \text{MnO}_2 \)).
Let's analyze the options:
Thus, the correct answer is that in an alkaline medium, \( \text{MnO}_4^- \) oxidizes \( \text{I}^- \) to \( \text{IO}_3^- \).
200 cc of $x \times 10^{-3}$ M potassium dichromate is required to oxidise 750 cc of 0.6 M Mohr's salt solution in acidic medium. Here x = ______ .

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.