JEE Main · 2023hardCORD-159

Match List I with List II (wavelength of light absorbed in nm): (A) [CoCl(NH3)5]2+ (B) [Co(NH3)6]3+ (C) [Co(CN)6]3- (D)…

Coordination Compounds · Class 12 · JEE Main Previous Year Question

Question

Match List I with List II (wavelength of light absorbed in nm):

(A) [CoCl(NH3)5]2+[\mathrm{CoCl(NH_3)_5}]^{2+} (B) [Co(NH3)6]3+[\mathrm{Co(NH_3)_6}]^{3+} (C) [Co(CN)6]3[\mathrm{Co(CN)_6}]^{3-} (D) [Cu(H2O)4]2+[\mathrm{Cu(H_2O)_4}]^{2+}

with (I) 310 (II) 475 (III) 535 (IV) 600

| List-I (Complex) | List-II (λ absorbed, nm) | |------------------|--------------------------| | (A) [CoCl(NH3)5]2+[\mathrm{CoCl(NH_3)_5}]^{2+} | (III) 535 | | (B) [Co(NH3)6]3+[\mathrm{Co(NH_3)_6}]^{3+} | (II) 475 | | (C) [Co(CN)6]3[\mathrm{Co(CN)_6}]^{3-} | (I) 310 | | (D) [Cu(H2O)4]2+[\mathrm{Cu(H_2O)_4}]^{2+} | (IV) 600 |

Options
  1. a

    A-IV, B-I, C-III, D-II

  2. b

    A-III, B-II, C-I, D-IV

  3. c

    A-III, B-I, C-II, D-IV

  4. d

    A-II, B-III, C-IV, D-I

Correct Answerb

A-III, B-II, C-I, D-IV

Detailed Solution

🧠 λ Inversely Tracks Δ

λ1Δ\lambda \propto \frac{1}{\Delta}

Stronger field → larger Δ → shorter λ absorbed.

🗺️ Rank Each Complex by Field Strength

| Complex | Field assessment | Δ rank | |---|---|---| | (C) [Co(CN)6]3[\mathrm{Co(CN)_6}]^{3-} | 6 × strong CN⁻ | largest Δ (smallest λ) | | (B) [Co(NH3)6]3+[\mathrm{Co(NH_3)_6}]^{3+} | 6 × NH₃ (strong) | high Δ | | (A) [CoCl(NH3)5]2+[\mathrm{CoCl(NH_3)_5}]^{2+} | 5 NH₃ + 1 Cl⁻ (Cl⁻ weak) | lower Δ than B | | (D) [Cu(H2O)4]2+[\mathrm{Cu(H_2O)_4}]^{2+} | Cu(II) + weak H₂O | smallest Δ (largest λ) |

Order of λ (small → large): C < B < A < D.

Match to the four wavelengths (310, 475, 535, 600):

  • C → 310 (I)
  • B → 475 (II)
  • A → 535 (III)
  • D → 600 (IV)

Why Cu(II) Sits at Long λ

Cu²⁺ aquo absorbs in the red (≈ 600–800 nm) → transmits the famously pale-blue colour. The reasons: low charge (+2), Jahn-Teller distortion, weak ligand. All three lower Δ.

⚠️ Replacing One Strong Ligand with One Weaker Ligand Shifts λ

[Co(NH₃)₆]³⁺ (475 nm) → [CoCl(NH₃)₅]²⁺ (535 nm): swapping one NH₃ for one Cl⁻ adds ~60 nm. Small change in ligand identity = real shift in λ.

Answer: (2) A-III, B-II, C-I, D-IV\boxed{\text{Answer: (2) A-III, B-II, C-I, D-IV}}

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