The question deals with the molecular structure of the dichromate ion, particularly focusing on the nature of the \text{Cr}-\text{O}-\text{Cr} bond. Let's analyze the structure and the bonding within the dichromate ion to determine the correct option.
The dichromate ion, with the formula \text{Cr}_2\text{O}_7^{2-}, consists of two chromium atoms and seven oxygen atoms. In the dichromate ion, the structure contains a bridge of oxygen atoms between two chromium centers:
1. Each chromium atom is surrounded by oxygen atoms in a tetrahedral arrangement, sharing one oxygen atom in a bridge with another chromium atom.
2. There is a \text{Cr}-\text{O}-\text{Cr} bridge where the bridging oxygen atom is equidistant from both chromium atoms. This means that the bond is symmetrical.
3. The angle in the \text{Cr}-\text{O}-\text{Cr} bridge is non-linear, as the structure isn't a straight line.
Given these points, the structure of the dichromate ion has a non-linear symmetrical \text{Cr}-\text{O}-\text{Cr} bond.
Conclusion: The correct option is that the dichromate ion contains a non-linear symmetrical \text{Cr}-\text{O}-\text{Cr} bond.

Why is \( Cr^{2+} \) strongly reducing while \( Mn^{3+} \) is strongly oxidizing?
| List - I(Block/group in periodic table) | List - II(Element) |
|---|---|
| (A) Lanthanoid | (I) Ce |
| (B) d-block element | (II) As |
| (C) p-block element | (III) Cs |
| (D) s-block element | (IV) Mn |