JEE Main · 2023hardCORD-154

Given below are two statements: Assertion A: [CoCl(NH3)5]2+ absorbs at lower wavelength of light with respect to…

Coordination Compounds · Class 12 · JEE Main Previous Year Question

Question

Given below are two statements: Assertion A: [CoCl(NH3)5]2+[\mathrm{CoCl(NH_3)_5}]^{2+} absorbs at lower wavelength of light with respect to [Co(NH3)5(H2O)]3+[\mathrm{Co(NH_3)_5(H_2O)}]^{3+}. Reason R: It is because the wavelength of light absorbed depends on the oxidation state of the metal ion. Choose the correct answer:

Options
  1. a

    A is false but R is true

  2. b

    A is true but R is false

  3. c

    Both A and R are true and R is the correct explanation of A

  4. d

    Both A and R are true and R is NOT the correct explanation of A

Correct Answerb

A is true but R is false

Detailed Solution

🧠 Compare Δ → Compare λ Absorbed

Larger Δ → higher-energy d–d transition → shorter absorbed wavelength.

Both complexes are Co(III). Difference is in the sixth ligand: Cl⁻ in [CoCl(NH3)5]2+[\mathrm{CoCl(NH_3)_5}]^{2+} vs H₂O in [Co(NH3)5(H2O)]3+[\mathrm{Co(NH_3)_5(H_2O)}]^{3+}.

Spectrochemical series: Cl<H2O\mathrm{Cl^-} < \mathrm{H_2O}. So replacing H₂O with Cl⁻ lowers Δo\Delta_olonger wavelength absorbed.

So [CoCl(NH3)5]2+[\mathrm{CoCl(NH_3)_5}]^{2+} absorbs at higher (longer) wavelength than [Co(NH3)5(H2O)]3+[\mathrm{Co(NH_3)_5(H_2O)}]^{3+}.

The assertion A says the opposite ("absorbs at lower wavelength"). A is FALSE by the chemistry.

🗺️ Reason R Examined

R says wavelength absorbed depends on the oxidation state of the metal.

This is a generally true statement (higher OS → larger Δ → smaller λ, holding ligand and geometry constant). For example, comparing [Cr(H2O)6]2+[\mathrm{Cr(H_2O)_6}]^{2+} vs [Cr(H2O)6]3+[\mathrm{Cr(H_2O)_6}]^{3+}: the +3 has larger Δ.

But here, both complexes have Co(III) — the same OS. So R is true as a general principle, but not the relevant explanation for this comparison (where the difference is ligand identity, not OS).

Charge of Complex Reinforces the Conclusion

The [CoCl(NH3)5]2+[\mathrm{CoCl(NH_3)_5}]^{2+} ion (charge +2) has a smaller overall positive charge than [Co(NH3)5(H2O)]3+[\mathrm{Co(NH_3)_5(H_2O)}]^{3+} (charge +3). Lower complex charge = weaker electrostatic attraction = smaller Δ — which also pushes [CoCl(NH₃)₅]²⁺ toward longer wavelength absorbed. Both effects (ligand and overall charge) act in the same direction.

⚠️ Watch the Direction of "Higher" vs "Lower" Wavelength

  • Higher wavelength = longer wavelength = lower energy = smaller Δ.
  • Lower wavelength = shorter wavelength = higher energy = larger Δ.

Mixing this up is the easiest way to mis-answer this kind of question.

Answer: (1) A is false but R is true\boxed{\text{Answer: (1) A is false but R is true}}

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