MCQMediumJEE 2023Crystal Field Theory

JEE Chemistry 2023 Question with Solution

Which of the following complexes will exhibit maximum attraction to an applied magnetic field?

  • A

    [Zn(H2O)6]2+[\text{Zn}(\text{H}_2\text{O})_6]^{2+}

  • B

    [Ni(H2O)6]2+[\text{Ni}(\text{H}_2\text{O})_6]^{2+}

  • C

    [Co(en)3]3+[\text{Co}(\text{en})_3]^{3+}

  • D

    [Ni(H2O)6]2+[\text{Ni}(\text{H}_2\text{O})_6]^{2+}

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: We must compare the magnetic attraction of the listed coordination complexes.

Find: Which complex has the maximum number of unpaired electrons, because greater paramagnetism means stronger attraction to an applied magnetic field.

The attraction of a complex to a magnetic field depends on the number of unpaired electrons in the complex.

  1. For [Zn(H2O)6]2+[\text{Zn}(\text{H}_2\text{O})_6]^{2+}, Zn2+\text{Zn}^{2+} has configuration
3d103d^{10}

So it has no unpaired electrons and is diamagnetic.

  1. For [Ni(H2O)6]2+[\text{Ni}(\text{H}_2\text{O})_6]^{2+}, Ni2+\text{Ni}^{2+} has configuration
3d83d^8

In an octahedral field, this becomes

t2g6eg2t_{2g}^6 e_g^2

with 2 unpaired electrons.

  1. For [Co(en)3]3+[\text{Co}(\text{en})_3]^{3+}, Co3+\text{Co}^{3+} has configuration
3d63d^6

Because en is a strong-field ligand, pairing occurs and the configuration becomes

t2g6eg0t_{2g}^6 e_g^0

So it has no unpaired electrons and is diamagnetic.

  1. The solution analyzes [Co(H2O)6]2+[\text{Co}(\text{H}_2\text{O})_6]^{2+} with configuration
t2g5eg2t_{2g}^5 e_g^2

which has 3 unpaired electrons and would therefore show maximum attraction.

However, this species is not present in the listed options. Among the given options, the complex with the highest number of unpaired electrons is [Ni(H2O)6]2+[\text{Ni}(\text{H}_2\text{O})_6]^{2+} with 2 unpaired electrons.

Therefore, among the provided options, the correct option is B.

Option-Solution Discrepancy Note

The source solution concludes that [Co(H2O)6]2+[\text{Co}(\text{H}_2\text{O})_6]^{2+} would have maximum magnetic attraction, but that complex does not appear in the option list. The raw options contain [Ni(H2O)6]2+[\text{Ni}(\text{H}_2\text{O})_6]^{2+} twice and do not include the cobalt aqua complex. Since the page explicitly marks B as the correct option and, among the listed choices, nickel(II) aqua complex has the largest justified number of unpaired electrons, the defensible answer is B.

Common mistakes

  • Comparing only the metal ions and ignoring ligand field strength is incorrect, because pairing depends on whether the ligand is weak-field or strong-field. Always determine the electron configuration in the actual complex, not just the free ion.

  • Assuming that all octahedral complexes of the same period have the same number of unpaired electrons is wrong. You must write the dd-electron count and then place electrons into t2gt_{2g} and ege_g according to the ligand field.

  • Treating [Co(en)3]3+[\text{Co}(\text{en})_3]^{3+} as high spin is a mistake, because en is a strong-field ligand and causes pairing for Co3+\text{Co}^{3+}. That complex is low spin and diamagnetic here.

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