The metal ions that have the calculated spin only magnetic moment value of 4.9 B.M. are A.…

The metal ions that have the calculated spin only magnetic moment value of 4.9 B.M. are
A. $\mathrm{Cr}^{2+}$
B. $\mathrm{Fe}^{2+}$
C. $\mathrm{Fe}^{3+}$
D. $\mathrm{Co}^{2+}$
E. $\mathrm{Mn}^{3+}$
Choose the correct answer from the options given below
  1. A, C and E only
  2. A, D and E only
  3. B and E only
  4. A, B and E only

Solution

Given magnetic moment $=4.9$ B.M.
We know M.M $=\sqrt{\mathrm{n}(\mathrm{n}+2)}$ B.M.
Where, $\mathrm{n} \rightarrow$ No. of unpaired $\mathrm{e}^{-}$
$4.9=\sqrt{\mathrm{n}(\mathrm{n}+2)}$
We get $\mathrm{n}=4$
(A) ${ }_{24} \mathrm{Cr}^{2+} \Rightarrow[\mathrm{Ar}] 3 \mathrm{~d}^4$ (4 unpaired e)
(B) ${ }_{26} \mathrm{Fe}^{2+} \Rightarrow[\mathrm{Ar}] 3 \mathrm{~d}^6$ (4 unpaired e)
(C) ${ }_{26} \mathrm{Fe}^{3+} \Rightarrow[\mathrm{Ar}] 3 \mathrm{~d}^5$ (5 unpaired e)
(D) ${ }_{27} \mathrm{Co}^{2+} \Rightarrow[\mathrm{Ar}] 3 \mathrm{~d}^7$ (3 unpaired $\mathrm{e}^{-}$)
(E) ${ }_{25} \mathrm{Mn}^{3+} \Rightarrow[\mathrm{Ar}] 3 \mathrm{~d}^4 \quad\left(4\right.$ unpaired $\left.\mathrm{e}^{-}\right)$

Asked in: JEE Main 2025 (03 Apr Shift 1)

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