કઈ જોડી જેમાં બંને આયનોની સમાન ચુંબકીય ચાકમાત્રા (ફક્ત સ્પિન) હોય છે:

A \(\left[\operatorname{Mn}\left( H _{2} O \right)_{6}\right]^{2+}\) અને \(\left[ Cr \left( H _{2} O \right)\right]^{2+}\)
B \(\left[ Cr \left( H _{2} O \right)_{6}\right]^{2+}\) અને \(\left[ CoCl _{4}\right]^{2-}\)
C \(\left[ Cr \left( H _{2} O \right)_{6}\right]^{2+}\) અને \(\left[ Fe \left( H _{2} O \right)_{6}\right]^{2+}\)
D \(\left[ Co ( OH )_{4}\right]^{2-}\) અને \(\left[ Fe \left( NH _{3}\right)_{6}\right]^{2+}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(\left[ Cr \left( H _{2} O \right)_{6}\right]^{2+}\) અને \(\left[ Fe \left( H _{2} O \right)_{6}\right]^{2+}\)

Step-by-step Solution

Detailed explanation

Thus complex \(\left[ Cr \left( H _{2} O \right)_{6}\right]^{2+}\) and \(\left[ Fe \left( H _{2} O \right)_{6}\right]^{2+}\) have same no. of unpaired \(e^-\) and hence same magnetic moment (spin only).

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

સૂચિ \(I\) સાથે સૂચિ \(II\) ને જોડો.

સૂચિ \(-I\)	સૂચિ \(-II\)
\((A)\) \(\Psi_{ MO }=\Psi_{ A }-\Psi_{ B }\)	\((I)\) દ્વિધ્રુવ ચાકમાત્રા
\((B)\) \(\mu=Q \times I\)	\((II)\) બંધકારક આણ્વિય કક્ષક
\((C)\) \(\frac{N_{b}-N_{a}}{2}\)	\((III)\) બંધપ્રતિકારક આણ્વિય કક્ષક
\((D)\) \(\Psi_{ MO }=\Psi_{ A }+\Psi_{ B }\)	\((IV)\) બંધક્રમાંક

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JEE Mains 2022 Medium

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