નીચેના પૈકી ફકત સ્પીન આધારિત ચુંબકીય ચાકમાત્રાનો સાચો ક્રમ જણાવો. (પ.ક્ર.: \(Mn\, = 25, Co\, = 27, Ni\, = 28, Zn\, = 30\))

A \({\left[ {ZnC{l_4}} \right]^{2 - }} > {\left[ {NiC{l_4}} \right]^{2 - }} > {\left[ {CoC{l_4}} \right]^{2 - }} > {\left[ {MnC{l_4}} \right]^{2 - }}\)
B \({\left[ {CoC{l_4}} \right]^{2 - }} > {\left[ {MnC{l_4}} \right]^{2 - }} > {\left[ {NiC{l_4}} \right]^{2 - }} > {\left[ {ZnC{l_4}} \right]^{2 - }}\)
C \({\left[ {NiC{l_4}} \right]^{2 - }} > {\left[ {CoC{l_4}} \right]^{2 - }} > {\left[ {MnC{l_4}} \right]^{2 - }} > {\left[ {ZnC{l_4}} \right]^{2 - }}\)
D \({\left[ {MnC{l_4}} \right]^{2 - }} > {\left[ {CoC{l_4}} \right]^{2 - }} > {\left[ {NiC{l_4}} \right]^{2 - }} > {\left[ {ZnC{l_4}} \right]^{2 - }}\)

Verified Solution

Answer & Solution

Correct Answer

(D) \({\left[ {MnC{l_4}} \right]^{2 - }} > {\left[ {CoC{l_4}} \right]^{2 - }} > {\left[ {NiC{l_4}} \right]^{2 - }} > {\left[ {ZnC{l_4}} \right]^{2 - }}\)

Step-by-step Solution

Detailed explanation

The complex having higher number of unpaired electrons will have higher value of spin only magnetic moment. In all these complexes, the central metal ion is in \(+2\) oxidation state. \(Zn^{2+}\) has \(3d^{10}\) outer electronic configuration with \(0\) unpaired electron.…

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.

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From JEE Mains

List-I ને List-II સાથે જોડો.

સૂચિ - I	સૂચિ - II
(A) ત્રિ-પરિમાણીય જડ વાયુ	(I) \(\frac{C_P}{C_V} = \frac{5}{3}\)
(B) દ્વિ-પરિમાણીય અજડ વાયુ	(II) \(\frac{C_P}{C_V} = \frac{7}{5}\)
(C) એક-પરિમાણીય વાયુ	(III) \(\frac{C_P}{C_V} = \frac{4}{3}\)
(D) દ્વિ-પરિમાણીય જડ વાયુ	(IV) \(\frac{C_P}{C_V} = \frac{9}{7}\)

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