ચુંબકીય ચાકમાત્રા એ બ્હોર મેગ્નેટોન \((BM)\)માં માપવામાં આવે છે.\(\left[ Fe \left( H _2 O \right)_6\right]^{3+}\) અને \(\left[ Fe ( CN )_6\right]^{3-}\) સંકીર્ણો માં \(Fe\) ની સ્પીન ફક્ત ચુંબકીય ચાકમાત્રા અનુક્રમે શોધો.

A બન્નેમાં \(6.92\,B.M.\)
B \(4.89\,B.M.\) અને \(6.92\,B.M.\)
C \(3.87\,B.M.\) અને \(1.732\,B.M.\)
D \(5.92\,B.M.\) અને \(1.732\,B.M\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(5.92\,B.M.\) અને \(1.732\,B.M\)

Step-by-step Solution

Detailed explanation

\(\left[ Fe \left( H _2 O \right)_6\right]^{3+}\) \(\therefore \text { Unpaired } e ^{-}=5\) \(\mu=\sqrt{ n ( n +2)}\) \(=\sqrt{5(5+2)}\) \(\mu=\sqrt{35}=5.92 \text { B.M. }\) \({\left[ Fe ( CN )_6\right]^{-3}}\) Pairing occur due to strong field ligand \(CN ^{-}\)…

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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