JEE Main · 2021 · Shift-IImediumBOND-111

Which one of the following species doesn't have a magnetic moment of 1.73 BM (spin only value)?

Chemical Bonding · Class 11 · JEE Main Previous Year Question

Question

Which one of the following species doesn't have a magnetic moment of 1.73 BM (spin only value)?

Options
  1. a

    O2+\mathrm{O_2^+}

  2. b

    CuI

  3. c

    [Cu(NH3)4]Cl2\mathrm{[Cu(NH_3)_4]Cl_2}

  4. d

    O2\mathrm{O_2^-}

Correct Answerb

CuI

Detailed Solution

🧠 μ=1.73\mu = 1.73 BM corresponds to 1 unpaired electron (spin-only formula: μ=n(n+2)=1×3=1.73\mu = \sqrt{n(n+2)} = \sqrt{1 \times 3} = 1.73 BM). Find which species does NOT have exactly 1 unpaired electron.

  • \ceO2+\ce{O2+} (15e): \pi^*_{2p}^11 unpaired → μ = 1.73 BM ✓
  • \ceO2\ce{O2-} (17e): \pi^*_{2p}^3 (one orbital full, one half-filled) → 1 unpaired → μ = 1.73 BM ✓
  • \ce[Cu(NH3)4]Cl2\ce{[Cu(NH_3)_4]Cl_2}: \ceCu2+\ce{Cu^{2+}} is d⁹ → 1 unpaired → μ = 1.73 BM ✓
  • CuI: \ceCu+\ce{Cu+} is d¹⁰ (fully filled d shell) → 0 unpaired → μ = 0 BM ✗

CuI does not have a magnetic moment of 1.73 BM.

Answer: (b) CuI\boxed{\text{Answer: (b) CuI}}

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