Magnetic Properties

8 MCQs9-step worked example
Source: NCERT The d and f Block ElementsPYQ coverage: NEET 2021, 2022, 2023, 2024, 2025Official key: NTA-verifiedLast reviewed: May 2026

Lesson

The magnetic behaviour of transition metal ions comes down to one question: how many unpaired electrons does the ion have? Get that count wrong, and you pick the wrong magnetic moment from the spin-only formula — a common source of lost marks.

Classification. Substances with unpaired electrons are paramagnetic (attracted into a magnetic field). Substances with all electrons paired are diamagnetic (weakly repelled). Among transition metals, paramagnetism dominates because partially filled d-orbitals readily hold unpaired electrons.

The spin-only formula. NCERT Class 12 Chemistry Chapter 4 (page 16) gives:

μ = √(n(n+2)) BM

where n = number of unpaired electrons. This approximation ignores orbital angular momentum contribution — valid for first-row d-block ions where crystal field quenching suppresses orbital contribution.

Counting unpaired electrons. Write the electronic configuration of the ion (not the atom). Remove electrons from 4s first, then from 3d. For example: Fe²⁺ is [Ar] 3d⁶ — four unpaired electrons in a free ion (high-spin). Fe³⁺ is [Ar] 3d⁵ — five unpaired electrons.

Watch-out. The trap is counting unpaired electrons from the neutral atom configuration rather than the ion configuration. Always strip 4s electrons first, then count d-orbital occupancy in the ionic state. A second common error: confusing high-spin and low-spin counts without being told the ligand field strength — in NEET, assume high-spin (weak field) unless the question explicitly states otherwise.

Practice MCQs

Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.

MCQ 1Easy RecallPractice

Which of the following ions is diamagnetic?

MCQ 2Direct ApplicationPractice

The spin-only magnetic moment of Mn²⁺ (3d⁵) is:

MCQ 3Direct ApplicationPractice

Among Ti³⁺, V³⁺, Cr³⁺, and Mn²⁺, the ion with the highest magnetic moment is:

MCQ 4Easy RecallPractice

Cu⁺ is diamagnetic while Cu²⁺ is paramagnetic. This is because:

MCQ 5Direct ApplicationPractice

A transition metal ion has a magnetic moment of 3.87 BM. The number of unpaired electrons in the ion is:

MCQ 6Easy RecallPractice

Which statement correctly describes the spin-only magnetic moment formula?

MCQ 7Direct ApplicationPractice

Fe²⁺ has a spin-only magnetic moment of approximately:

MCQ 8CalculationPractice

An ion with electronic configuration [Ar] 3d³ is placed in a magnetic field. Its magnetic moment and magnetic behaviour are:

Worked Example

  1. 1

    Given

    Co (Z = 27): [Ar] 3d⁷ 4s². Co²⁺ removes 2 electrons (4s² first) → [Ar] 3d⁷.

  2. 2

    Required

    Spin-only magnetic moment (μ) and magnetic classification.

  3. 3

    Concept

    The spin-only formula relates the number of unpaired electrons to the observed magnetic moment. For high-spin first-row transition metal ions, count unpaired electrons in the d-subshell after removing appropriate electrons.

  4. 4

    Formula

    μ = √(n(n+2)) BM

  5. 5

    Substitution

    Co²⁺ is 3d⁷. Filling 5 d-orbitals with 7 electrons (Hund's rule, high-spin): ↑↓ ↑↓ ↑ ↑ ↑ → n = 3 unpaired electrons. μ = √(3 × (3+2)) = √(3 × 5) = √15

  6. 6

    Calculation

    μ = √15 = 3.87 BM

  7. 7

    Final answer

    μ = 3.87 BM. Since n = 3 > 0, Co²⁺ is paramagnetic. Note: The integers 3, 5, and 15 in the formula are exact counting numbers and mathematical products — they do not limit significant figures. The result 3.87 BM carries three significant figures by convention of the spin-only formula output.

  8. 8

    Common trap

    Counting unpaired electrons from the neutral atom (3d⁷ 4s²) instead of the ion (3d⁷). Here both happen to give the same d-configuration for Co²⁺, but for ions like Fe²⁺ (not Fe atom's [Ar] 3d⁶ 4s² → ion is [Ar] 3d⁶), confusing atom vs ion configurations is a frequent source of wrong n values. Always write the ion configuration explicitly.

  9. 9

    Similar NEET-style question

    Calculate the magnetic moment of Ni²⁺ and identify whether a complex [Ni(H₂O)₆]²⁺ would be attracted to or repelled by a magnetic field.

Before solving, remember these

Paramagnetic: unpaired electrons. Magnetic moment μ = √(n(n+2)) BM (spin only), where n = unpaired e⁻. Diamagnetic: all e⁻ paired (e.g. Zn²⁺ d¹⁰).

-- NCERT Class 12 Chemistry, Ch. 4, p. 16

Formulas

Spin-only magnetic moment

Magnetic moment from n unpaired electrons. 1 unpaired: 1.73 BM; 5: 5.92 BM.

SymbolQuantitySI Unit
nunpaired electrons-
mumagnetic momentBohr magneton

Valid when

  • Spin-only contribution (no orbital contribution)
  • Octahedral or tetrahedral complex

Spin-only magnetic moment for transition metal

Predicts paramagnetic moment of d-block ion. n unpaired electrons in d-orbitals.

SymbolQuantitySI Unit
nunpaired electrons-
mumagnetic momentBM

Valid when

  • Spin-only contribution
  • Octahedral or tetrahedral complex
  • First-row d-block

Common oxidation states (first-row TM)

Catalogues common stable oxidation states across first-row transition metals.

SymbolQuantitySI Unit
OSoxidation state-

Valid when

  • First-row d-block
  • Common (not exotic) compounds

Exam Traps & Common Mistakes

These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.

Category: Inorganic Exception

Student assumes Mn²⁺ is the product regardless of medium. Acidic: → Mn²⁺ (5e⁻). Neutral/weakly basic: → MnO₂ (3e⁻). Strongly basic: → MnO₄²⁻ (1e⁻).

When it triggers

Question gives KMnO4 oxidation in unspecified or specific medium.

How to avoid

Always check medium. In acidic: Mn(+7) → Mn(+2). In neutral: → Mn(+4) (MnO₂). In basic: → Mn(+6) (manganate). The number of electrons (n) in Nernst calculations depends accordingly.

Past Year Questions

10 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.

NEET 2025

The correct order of decreasing basic strength of the given amines is:

1benzenamine > ethanamine > N-methylaniline > N-ethylethanamine
2N-methylaniline > benzenamine > ethanamine > N-ethylethanamine
3N-ethylethanamine > ethanamine > benzenamine > N-methylaniline
4N-ethylethanamine > ethanamine > N-methylaniline > benzenamine
NTA Answer: Option 4(final)
NEET 2023

Which one of the following statements is correct?

1All enzymes that utilise ATP in phosphate transfer require Ca as the cofactor
2The bone in human body is an inert and unchanging substance
3Mg plays roles in neuromuscular function and interneuronal transmission
4The daily requirement of Mg and Ca in the human body is estimated to be 0.2-0.3 g
NTA Answer: Option 4(final)
NEET 2023

Which of the following statements are INCORRECT? A. All the transition metals except scandium form MO oxides which are ionic. B. The highest oxidation number corresponding to the group number in transition metal oxides is attained in Sc O to Mn O . 2 3 2 7 C. Basic character increases from V O to V O to V O . 2 3 2 4 2 5 D. V 2 O 4 dissolves in acids to give VO3 4 –salts. E. CrO is basic but Cr O is amphoteric. 2 3 Choose the correct answer from the options given below:

1B and D only
2C and D only
3B and C only
4A and E only
NTA Answer: Option 2(final)

How NEET usually asks this

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