Free Radicals Carbocations

8 MCQs1 revision card9-step worked example
Source: NCERT Organic Chemistry — Some Basic PrinciplesOfficial key: NTA-verifiedLast updated: 27 Sep 2026

Free Radicals Carbocations, explained for NEET

The trap that costs marks: when NEET gives you four carbocations and asks you to rank their stability, a common error is writing the order backwards — placing methyl or primary carbocations as most stable. The correct order is 3° > 2° > 1° > methyl, and missing this loses you 5 marks (4 + 1 negative).

What are carbocations and free radicals?

A carbocation is a carbon atom bearing a positive charge with only six electrons in its valence shell — it is electron-deficient. A free radical is a species with an unpaired electron on carbon. Both are reactive intermediates; they form during bond-breaking and exist briefly before reacting further (NCERT Class 11 Chemistry, Chapter 8, page 272).

Carbocation stability — why 3° beats 1°

Stability depends on how well the positive charge is dispersed. Two effects matter:

  1. Hyperconjugation: Adjacent C–H bonds (α-hydrogens) donate electron density into the empty p-orbital of the carbocation. A tertiary carbocation has 3 alkyl groups, each contributing α-H bonds. More α-H bonds → more hyperconjugative stabilisation → more stable. A methyl carbocation (CH₃⁺) has zero α-H bonds — no hyperconjugation at all.

  2. Inductive effect (+I): Alkyl groups are electron-donating through σ-bonds, partially neutralising the positive charge. More alkyl groups → greater +I effect.

Both effects point the same way: 3° > 2° > 1° > CH₃⁺ (NCERT Class 11 Chemistry, Chapter 8, page 271).

Resonance-stabilised carbocations

Allyl (CH₂=CH–CH₂⁺) and benzyl (C₆H₅–CH₂⁺) carbocations are primary by substitution count, but resonance delocalises the charge across π-electrons. This makes them significantly more stable than a typical primary carbocation — comparable to or exceeding secondary carbocations in stability.

Free radical stability follows the same order (3° > 2° > 1° > methyl) for the same reasons: hyperconjugation stabilises the species with the unpaired electron.

Watch out: NEET 2025 tested carbocation stability ranking directly. If you see a ranking question, write out the order explicitly before scanning the options — don't reverse it under pressure.


Can you answer these Free Radicals Carbocations 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 is a carbocation?

Show answer and why every option is right or wrong

Answer: A. A is correct. A carbocation is a positively charged carbon species. CH₃⁺ carries a positive charge on carbon with only six valence electrons, fitting the definition of a carbocation (NCERT Class 11 Chemistry, Chapter 8, page 271).

Why B is wrong: B is wrong because CH₃–CH₂• is a free radical (unpaired electron), not a carbocation (positive charge).

Why C is wrong: C is wrong because CH₃⁻ is a carbanion (negative charge on carbon), the opposite of a carbocation.

Why D is wrong: D is wrong because ethane is a stable, neutral molecule with no charge or unpaired electron — it is not a reactive intermediate.

MCQ 2Easy RecallPractice

How many valence electrons does the carbon atom in a carbocation possess?

Show answer and why every option is right or wrong

Answer: B. B is correct. A carbocation has three bonds and no lone pairs on the positively charged carbon, giving it six valence electrons — an incomplete octet (NCERT Class 11 Chemistry, Chapter 8, page 272).

Why A is wrong: A is wrong because 8 electrons would be a complete octet; a carbocation is electron-deficient and does not have a complete octet.

Why C is wrong: C is wrong because 7 electrons describes a free radical (one unpaired electron with three bonds), not a carbocation.

Why D is wrong: D is wrong because 4 would mean only two bonds with no lone pairs — carbon in a carbocation forms three bonds (6 electrons shared).

MCQ 3Easy RecallPractice

Free radical stability follows the order:

Show answer and why every option is right or wrong

Answer: D. D is correct. Free radical stability follows the same trend as carbocation stability: 3° > 2° > 1° > methyl, because hyperconjugation from α-C–H bonds stabilises the unpaired electron (the order: NCERT Class 11 Chemistry, Chapter 8, page 272; hyperconjugation is NCERT's reason for carbocations, page 277).

Why A is wrong: A is wrong because it inverts the order — primary radicals are less stable than tertiary due to fewer α-hydrogens for hyperconjugation.

Why B is wrong: B is wrong because methyl radical has zero α-hydrogens and is the least stable, not the most stable.

Why C is wrong: C is wrong because 2° cannot be more stable than 3° — a tertiary radical has more α-H bonds and greater hyperconjugative stabilisation.

MCQ 4Direct ApplicationPractice

Arrange the following carbocations in decreasing order of stability:
(I) (CH₃)₃C⁺
(II) (CH₃)₂CH⁺
(III) CH₃CH₂⁺
(IV) CH₃⁺

Show answer and why every option is right or wrong

Answer: A. A is correct. (I) is tertiary, (II) is secondary, (III) is primary, (IV) is methyl. Stability follows 3° > 2° > 1° > methyl due to increasing hyperconjugation and +I effect with more alkyl substituents (NCERT Class 11 Chemistry, Chapter 8, page 271).

Why B is wrong: B is wrong because it reverses the stability order completely — methyl carbocation (IV) is the least stable, not the most stable. The trap here is confusing 'less substituted = more stable' with the actual trend.

Why C is wrong: C is wrong because secondary (II) cannot be more stable than tertiary (I). A tertiary carbocation has more α-hydrogens and greater +I effect from three alkyl groups.

Why D is wrong: D is wrong because primary (III) cannot be more stable than secondary (II). Each additional alkyl group increases hyperconjugative stabilisation.

MCQ 5Direct ApplicationPractice

The allyl carbocation (CH₂=CH–CH₂⁺) is more stable than a simple primary carbocation because of:

Show answer and why every option is right or wrong

Answer: B. B is correct. In allyl carbocation, the positive charge is delocalised over two carbon atoms through the adjacent π-bond (CH₂=CH–CH₂⁺ ↔ ⁺CH₂–CH=CH₂). This resonance stabilisation makes it far more stable than a typical primary carbocation.

Why A is wrong: A is wrong because while inductive effect exists, it alone cannot explain the large stability difference. Resonance is the dominant stabilising factor for allyl carbocation.

Why C is wrong: C is wrong because hyperconjugation involves α-C–H bonds, not π-bond overlap. The allyl system's extra stability comes specifically from resonance with the adjacent C=C π-bond.

Why D is wrong: D is wrong because electronegativity is an atomic property and does not explain charge delocalisation. The double bond provides resonance stabilisation, not an electronegativity effect.

MCQ 6Direct ApplicationPractice

Which carbocation is most stable?
(I) CH₃⁺
(II) CH₃CH₂⁺
(III) (CH₃)₂CH⁺
(IV) C₆H₅CH₂⁺ (benzyl)

Show answer and why every option is right or wrong

Answer: C. C is correct. Benzyl carbocation is stabilised by resonance with the aromatic ring — the positive charge delocalises across multiple ring carbons. This resonance stabilisation exceeds the hyperconjugation-based stability of even a secondary carbocation (III).

Why A is wrong: A is wrong because methyl carbocation has zero α-hydrogens and no resonance — it is the least stable carbocation in this set.

Why B is wrong: B is wrong because ethyl carbocation is primary with limited hyperconjugation (3 α-H bonds). It is less stable than both the secondary and benzyl carbocations.

Why D is wrong: D is wrong because while secondary carbocation is more stable than primary, it relies only on hyperconjugation and +I effect. Benzyl carbocation's resonance with the aromatic π-system provides greater stabilisation.

MCQ 7Concept TrapPractice

A tertiary carbocation is more stable than a primary carbocation. Which of the following best explains this observation?

Show answer and why every option is right or wrong

Answer: C. C is correct. A tertiary carbocation has three alkyl groups, each providing α-C–H bonds for hyperconjugation and electron donation via the +I effect. Both mechanisms disperse the positive charge, increasing stability (NCERT Class 11 Chemistry, Chapter 8, page 277).

Why A is wrong: A is wrong because carbocations have an empty p-orbital and no lone pairs on the positively charged carbon. Lone pairs are not involved in stabilising carbocations.

Why B is wrong: B is wrong because carbocations by definition have only 6 valence electrons — they do not have a complete octet. That is precisely why they are reactive.

Why D is wrong: D is wrong because steric strain (repulsion between bulky groups) destabilises species. A primary carbocation has less steric strain, not more. The stability difference comes from electronic effects, not sterics.

MCQ 8CalculationPractice

Consider the following carbocations:
(I) (CH₃)₃C⁺
(II) CH₂=CH–CH₂⁺
(III) (CH₃)₂CH⁺
(IV) C₆H₅CH₂⁺
The correct stability order (use the resonance-first ordering standard in NEET) is:

Show answer and why every option is right or wrong

Answer: A. A is correct. Rank by the STRONGEST stabilising effect each cation has: benzyl (IV) and allyl (II) both delocalise the charge by resonance, and resonance outranks hyperconjugation, so both sit above the tert-butyl cation (I) whose 9 α-H hyperconjugation and +I are all it has. Benzyl beats allyl because the ring supplies more contributing structures. Secondary (III) is last. Order: C₆H₅CH₂⁺ > CH₂=CH–CH₂⁺ > (CH₃)₃C⁺ > (CH₃)₂CH⁺. This resonance-first order is the one NEET keys use; NCERT's own carbocation order covers only methyl, primary, secondary and tertiary (NCERT Class 11 Chemistry, Chapter 8, page 271).

Why B is wrong: B is wrong because it places tertiary (I) above benzyl (IV). Benzyl carbocation's aromatic resonance delocalises charge over multiple ring carbons, providing greater stabilisation than hyperconjugation alone.

Why C is wrong: C is wrong because it places secondary (III) above benzyl (IV) and allyl (II) last. Both resonance-stabilised cations are more stable than a secondary carbocation that relies only on hyperconjugation.

Why D is wrong: D is wrong because it puts the tert-butyl cation above allyl. On the resonance-first ordering this stem asks for, a resonance-delocalised cation always outranks one held up by hyperconjugation alone — so allyl comes before 3°.

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Free Radicals Carbocations: quick recall before you leave

How do you solve a Free Radicals Carbocations question? A worked example

  1. 1

    Given

    Four carbocations of different types: (I) tertiary, (II) allyl (primary with adjacent C=C), (III) primary, (IV) benzyl (primary with adjacent aromatic ring).

  2. 2

    Required

    Decreasing order of stability.

  3. 3

    Concept

    Carbocation stability is governed by (a) hyperconjugation — more α-C–H bonds donate more electron density, and (b) resonance — charge delocalisation through π-systems (allyl, benzyl). Resonance with an aromatic ring (benzyl) provides more extensive delocalisation than resonance with a single C=C (allyl).

  4. 4

    Formula / Rule

    Among cations stabilised only by hyperconjugation and induction: 3° > 2° > 1° > CH₃⁺.
    Resonance beats both, so any resonance-delocalised cation outranks all of them.
    Full order: benzyl > allyl > 3° > 2° > 1° > CH₃⁺ — benzyl above allyl because the ring offers more contributing structures.
    (Worth knowing: gas-phase hydride-affinity measurements put the tert-butyl cation marginally ABOVE allyl. NEET keys use the resonance-first order above, so that is the one to answer with.)

  5. 5

    Substitution / Classification

    • (I) (CH₃)₃C⁺: tertiary — 9 α-H bonds, strong hyperconjugation, strong +I• (IV) C₆H₅CH₂⁺: benzyl — primary by substitution, but aromatic resonance delocalises charge over several ring carbons• (II) CH₂=CH–CH₂⁺: allyl — primary by substitution, but resonance across one C=C (two contributing structures)• (III) CH₃CH₂⁺: simple primary — only 3 α-H bonds, weak hyperconjugation, no resonance

  6. 6

    Reasoning

    Benzyl (IV) tops the list — aromatic resonance provides the most extensive delocalisation. Tertiary (I) is next — 9 α-H bonds give very strong hyperconjugation that exceeds allyl's limited two-carbon resonance. Allyl (II) is still well above simple primary. Primary (III) has only modest hyperconjugation and no resonance.

  7. 7

    Final answer

    IV > II > I > III — i.e., C₆H₅CH₂⁺ > CH₂=CH–CH₂⁺ > (CH₃)₃C⁺ > CH₃CH₂⁺

    Note: No numerical constants or calculations are involved in this ranking problem — it is a qualitative comparison of electronic effects.

  8. 8

    Common trap

    Ignoring resonance and ranking purely by degree of substitution would place (I) first and both (IV) and (II) below it. NEET distractors exploit exactly this: an option showing I > IV > II > III tempts students who consider only hyperconjugation and forget resonance stabilisation.

  9. 9

    Similar NEET-style question

    "Among CH₃⁺, (CH₃)₂CH⁺, C₆H₅CH₂⁺, and (CH₃)₃C⁺, which is the most stable carbocation?" — the answer is benzyl, C₆H₅CH₂⁺, because aromatic resonance dominates over hyperconjugation alone.

    ---

What to remember before solving Free Radicals Carbocations questions

Stabilising interaction between σ C-H bonds and adjacent unsaturated π system or carbocation. More α-H atoms → more hyperconjugation → more stable. Tertiary carbocation > secondary > primary.

-- NCERT Class 11 Chemistry, Ch. 8, p. 277

Carbocations (e⁻ deficient, sp²): stability tertiary > secondary > primary > methyl. Carbanions (e⁻ rich, sp³): stability methyl > primary > secondary > tertiary. Free radicals (one unpaired e⁻): stability tertiary > secondary > primary.

-- NCERT Class 11 Chemistry, Ch. 8, p. 271

Which Free Radicals Carbocations formulas do you need for NEET?

Carbocation stability order

Stability from hyperconjugation (more α-H) and inductive donation (alkyl groups). Resonance can elevate primary cations.

SymbolQuantitySI Unit
stabilityrelative-

Valid when

  • Gas phase or aprotic solvent
  • Compare similar reaction conditions

Where do students lose marks on Free Radicals Carbocations?

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

Category: Similar Terms

Student writes 1° > 2° > 3° (linear with substitution count, but inverted) or treats methyl as more stable.

When it triggers

Question gives multiple carbocations and asks for stability ranking.

How to avoid

Stability: 3° > 2° > 1° > methyl. Hyperconjugation (more α-H = more stable). Resonance can elevate (allyl, benzyl > 1°).

More in Organic Chemistry — Some Basic Principles: 7 exam traps and mistakes from its other lessons.

Free Radicals Carbocations questions from past NEET papers

No question in our NEET 2020–2025 set targets this topic directly.

All 12 past-paper questions from Organic Chemistry — Some Basic Principles →

How does NEET ask about Free Radicals Carbocations?

Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.

Sources

NCERT refs: Class 11 Chemistry Chapter 8, p.272 | Class 11 Chemistry Chapter 8, p.271

Page numbers are the ones printed in the current NCERT textbook (2023 rationalised edition), unless marked pre-2023. The books are free at ncert.nic.in.

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