What will be the correct order for the wavelengths of absorption in the visible region for the following:
`[Ni(NO_(2))_(6)]^(4-), [Ni(NH_(3))_(6)]^(2+), [Ni(H_(2)O)_(6)]^(2+)` ?

Explanation

To determine the correct order for the wavelengths of absorption in the visible region for the coordination compounds \([Ni(NO_2)_6]^{4-}\), \([Ni(NH_3)_6]^{2+}\), and \([Ni(H_2O)_6]^{2+}\), we will follow these steps:

### Step 1: Determine the oxidation state of Nickel in each complex
1. For \([Ni(NO_2)_6]^{4-}\):
- Each \(NO_2\) has a charge of \(-1\).
- Let the oxidation state of Ni be \(x\).
- The equation will be: \(x + 6(-1) = -4\)
- Solving gives: \(x - 6 = -4 \Rightarrow x = +2\)
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