Assertion (A):
The assertion states that \([ \text{CoCl}(\text{NH}_3)_5 ]^{2+}\) absorbs at a lower wavelength compared to \([ \text{CoCl}(\text{NH}_3)_5(\text{H}_2\text{O}) ]^{3+}\).
- This assertion is false. The complex \([ \text{CoCl}(\text{NH}_3)_5(\text{H}_2\text{O}) ]^{3+}\) contains \( \text{Co}^{3+} \), which has a larger crystal field splitting energy (CFSE) than \( \text{Co}^{2+} \) in \([ \text{CoCl}(\text{NH}_3)_5 ]^{2+}\).
- Additionally, \( \text{H}_2\text{O} \) is a stronger field ligand than \( \text{Cl}^- \), which further increases the CFSE for \([ \text{CoCl}(\text{NH}_3)_5(\text{H}_2\text{O}) ]^{3+} \).
- A larger CFSE corresponds to absorption of higher energy (shorter wavelength) light.
- Thus, \([ \text{CoCl}(\text{NH}_3)_5(\text{H}_2\text{O}) ]^{3+}\) should absorb at a lower wavelength compared to \([ \text{CoCl}(\text{NH}_3)_5 ]^{2+}\).
Reason (R):
The reason states that the wavelength of light absorbed depends on the oxidation state of the metal ion. This is true. A higher oxidation state of the central metal ion increases the CFSE, resulting in the absorption of light at a lower wavelength (higher energy).
Final Answer:
Assertion A is false, but Reason R is true.