Q.Name the instrument used for measuring the angle by which the plane polarised light is rotated.
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🔒 Start your 14-day free trial to unlock the full solution →Concept understanding — Optical Isomerism and Enantiomers
Optical Isomerism and Enantiomers
A carbon atom that is bonded to four different groups is called an asymmetric or chiral carbon. A molecule containing such a carbon is not superimposable on its mirror image, just as a left hand is not superimposable on a right hand. The two non-superimposable mirror-image forms are called enantiomers, and the property of existing as such pairs is optical isomerism.
Enantiomers are identical in most physical properties (melting point, boiling point, density) and in ordinary chemical reactions, but they differ in one striking way: each rotates the plane of plane-polarised light by an equal angle in opposite directions. The form that rotates it clockwise is dextrorotatory (+); the one that rotates it anticlockwise is laevorotatory (−).
To compare three-dimensional structures, chemists use wedge-and-dash drawings (a solid wedge points toward the viewer, a dashed wedge points behind the plane). Two drawings of the same four groups on one chiral carbon are enantiomers if one is the mirror image of the other and no rotation can make them coincide. A practical test is to interchange any two groups on the reference structure: a single swap converts a molecule into its enantiomer, while two successive swaps return the original configuration.
For example, propan-2-ol — whose carbon carries two identical CH₃ groups — gives a mirror image that a simple 180° rotation brings back onto the original:
Contrast that with butan-2-ol, whose carbon carries four different groups (CH₃, C₂H₅, OH, H) — its rotated mirror image never coincides with the original:
Concept: Optical rotation and its measurement
Plane-polarized light passing through certain optically active substances (like sugar solutions, quinine, tartaric acid) has its plane of polarization rotated by a characteristic angle. This phenomenon is called optical rotation or optical activity.
The instrument designed to measure this angle of rotation is a polarimeter. It consists of two Nicol prisms (or polaroids) — one as polarizer and the other as analyzer — with a tube containing the optically active sample placed between them. By rotating the analyzer until extinction (minimum intensity) is observed, the angle through which the plane of polariza …
The instrument that measures the angle of rotation of plane-polarised light is the polarimeter; it exploits the optical activity of certain substances to determine rotation angles and, often, concentrations.
The concept: optical activity and its measurement
When plane-polarised light passes through certain substances—particularly chiral molecules in solution (like sugars, amino acids, or many organic compounds)—the plane of polarisation rotates by a measurable angle. This phenomenon is called optical activity, and the angle of rotation depends on the substance's nature, its concentration, the path length through the sample, and the wavelength of light used.
To quantify this rotation, we need an instrument that can:
- produce plane-polarised light,
- pass it through the optically active sample, and
- measure the angle through which the plane has been rotated.
That instrument is the polarimeter.
How a polarimeter works
A polarimeter consists of a few essential components arranged in sequence:
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Light source: Usually monochromatic light (commonly the sodium D-line at 589nm) to ensure consistent measurements.
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Polariser: The first polarising element (often a Nicol prism or polarising filter) converts unpolarised light into plane-polarised light.
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Sample tube: A glass tube of known length containing the optically active substance (solution or pure liquid).
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Analyser: A second polarising element (identical to the polariser) that can be rotated. The observer looks through this.
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Scale: A circular graduated scale attached to the analyser to read the angle of rotation directly. …
Showing the 12 most recent of 13 on this concept.
- AP EAPCET 2026Set ap-2026-05-19-FN1 markMCQQ.Which of the following are chiral molecules? Pentan-3-ol (I) 3-Methylheptane (II) 3-Bromo-3-methylpentane (III) 3-Bromo-2-methylpentane (IV) Correct answer is (only = only) (A) I, II, III only (B) II, IV only (C) II, III only (D) I, II only
›Reveal solutionSolution
A carbon is a stereocentre (making the molecule chiral) only if it bears four different groups; testing each compound shows only II and IV qualify.
Concept and Intuition
Chirality in a simple acyclic molecule usually arises from a single sp³ carbon attached to four different substituents (a stereocentre). If any two of the four attached groups are identical, that carbon is not a stereocentre and the molecule (if this is its only candidate centre) is achiral.
Step-by-Step Solution
- Pentan-3-ol: CH3CH2−CH(OH)−CH2CH3. C3 bears OH, H, and two identical −C2H5 groups → not a stereocentre → achiral.
- 3-Methylheptane: CH3CH2−CH(CH3)−CH2CH2CH2CH3. C3 bears H, CH3, −C2H5 (towards C1–C2), and −C4H9 (towards C4–C7) — all four different → stereocentre → chiral.
- 3-Bromo-3-methylpentane: CH3CH2−C(Br)(CH3)−CH2CH3. This carbon bears Br, CH3, and two identical −C2H5 groups → not a stereocentre → achiral. …
- AP EAPCET 2026Set ap-2026-05-20-FN1 markMCQQ.Identify the chiral molecules from the following [FIGURE] (five wedge-dash skeletal structures labelled I-V: I = a carbon bearing H, Br, OH and CH3 substituents shown with wedge/dash stereochemistry; II = a similar carbon bearing H, Br, Br (two Br groups) and CH3; III = a pentane-type chain with a stereocentre bearing OH and H shown with wedge/dash bonds; IV = a pentanol-type chain with OH and H shown on a stereocentre with wedge bonds; V = a chain bearing adjacent Br and Cl stereocentres next to an isopropyl branch, shown with wedge/dash bonds) (only = only) (A) I, II only (B) I, IV, V only (C) II, III, IV only (D) I, V only
›Reveal solutionSolution
Apply the "four different groups" test to each drawn stereocentre: I, IV and V each have four distinct substituents (chiral); II and III each have two identical substituents on their stereocentre (achiral).
Concept and Intuition
A carbon atom is a genuine stereocentre — and hence can make a molecule chiral — only when all four groups attached to it are different. If any two of the four attached groups are identical, that carbon is not a stereocentre (there's an internal mirror-plane/symmetry through it), and the molecule (assuming no other stereocentre) is achiral.
Step-by-Step Solution
- I: central carbon bears CH3, H, Br, OH — four different groups → genuine stereocentre → chiral.
- II: central carbon bears CH3, H, Br, Br — two of the four groups are identical (Br and Br) → not a stereocentre → achiral.
- III: a chain with OH/H on a carbon flanked by two alkyl "chain ends" that are described as symmetric (e.g. pentan-3-ol type, CH3CH2−CH(OH)−CH2CH3) — the two flanking ethyl groups are identical → not a stereocentre → achiral.
- IV: OH/H on a carbon at one end of a longer chain (e.g. pentan-2-ol type, CH3−CH(OH)−CH2CH2CH3) — the four groups are CH3, H, OH, and propyl, all different → chiral. …
- AP EAPCET 2024Set eng-2024-05-18-FN1 markMCQQ.Which of the following does not show optical isomerism? (A) Cis−[CrCl2(C2O4)2]3− (B) [PtCl2(en)2]2+ (C) [Co(NH3)3(NO2)3] (D) [Co(en)3]3+
›Reveal solutionSolution
This tests which coordination-geometry type can never be chiral. MA3B3 octahedral complexes ([Co(NH3)3(NO2)3]) have a mirror plane in every geometric isomer, so they never show optical isomerism — the answer is (C).
Concept and Intuition
A complex shows optical isomerism only if it is chiral, i.e. its mirror image is non-superimposable on itself. This happens when the molecule has no improper symmetry element (no σ plane, no Sn axis, no centre of symmetry). For octahedral complexes with chelating ligands, whether a particular geometric isomer is chiral depends on its symmetry, not just its formula — you must check each type:
- M(AA)3 (three symmetric bidentate ligands): always chiral — it has only C3 and C2 rotational symmetry, like a three-bladed propeller, with left- and right-handed forms.
- M(AA)2X2 (two bidentate + two monodentate): the cis isomer is chiral (no mirror plane); the trans isomer is achiral (has a mirror plane through the two X groups and the metal).
- MA3B3 (three of one monodentate ligand + three of another): both possible geometric isomers, facial (fac, the three A's on one triangular face) and meridional (mer, the three A's in a plane through the metal), each possess a mirror plane that reflects the molecule onto itself. So neither fac nor mer is chiral — this type never shows optical isomerism, regardless of which geometric isomer you pick.
Step-by-Step Solution
- (A) cis-[CrCl2(C2O4)2]3− is M(AA)2X2 with AA= oxalate, X= Cl. Since it is explicitly the cis isomer, it lacks a mirror plane and is chiral — it does show optical isomerism.
- (B) [PtCl2(en)2]2+ is the same M(AA)2X2 pattern (AA= en, X= Cl), here on octahedral Pt(IV). Its cis form (the one conventionally discussed for this complex) is chiral — it does show optical isomerism. …
- AP EAPCET 2023Set ap-2023-05-22-FN1 markMCQQ.Which of the following exhibits optical isomerism? I. CH3CHCH2CH3 with a CH2Br branch on the CH carbon II. (CH3)2CHCH2Br III. (BrCH2)2CHCH2CH3 IV. CH3CH2CHCH(CH3)2 with a CH3 branch on the CH carbon (A) I, II only (B) II, III only (C) I, IV only (D) III, IV only
›Reveal solutionSolution
Checking each structure for a carbon with four different substituents (the requirement for chirality/optical isomerism) shows only structures I and IV qualify.
Concept and Intuition
A molecule shows optical isomerism if it has at least one stereocenter — a carbon attached to four different groups. The quickest check is to look at the candidate carbon and list its four substituents; if any two are identical, that carbon is not a stereocenter.
Step-by-Step Solution
- Structure I: CH3−CH(CH2Br)−CH2−CH3. The central CH carbon has substituents: CH3, CH2Br, CH2CH3 (ethyl), and H — all four different ⇒ chiral, shows optical isomerism.
- Structure II: (CH3)2CH−CH2Br. The CH carbon has substituents: CH3, CH3, CH2Br, H — two identical CH3 groups ⇒ not chiral.
- Structure III: (BrCH2)2CH−CH2CH3. The CH carbon has substituents: CH2Br, CH2Br, CH2CH3, H — two identical CH2Br groups ⇒ not chiral. …
- AP EAPCET 2023Set ap-2023-05-23-AN1 markMCQQ.The optical rotation of a racemic mixture of 2-methyl 1-butanol is (A) +11.5 (B) +5.75 (C) +2.87 (D) 0
›Reveal solutionSolution
By definition, a racemic mixture (equal parts of two enantiomers) is optically inactive — net rotation is always zero, regardless of how large each individual enantiomer's specific rotation is.
Concept and Intuition
When a chiral compound exists as a 50:50 mixture of its two enantiomers (a racemic mixture, or racemate), the rotation contributed by the (+) form is exactly cancelled by the equal and opposite rotation contributed by the (−) form — this is called "external compensation," and it is a defining property of any racemic mixture, independent of the specific compound.
Step-by-Step Solution
- 2-Methyl-1-butanol has a stereocentre (at C-2), so it exists as a pair of enantiomers, (+)-2-methyl-1-butanol and (−)-2-methyl-1-butanol.
- A "racemic mixture" by definition contains these two enantiomers in exactly equal (1:1) proportion.
- Each enantiomer rotates plane-polarised light by an equal magnitude but in opposite directions (say +5.75° and −5.75°). …
- AP EAPCET 2023Set ap-2023-05-23-FN1 markMCQQ.The correct statement with respect to D-glucose(x) and D-Fructose (y) is (A) Both x and y are dextrorotatory compounds (B) Both x and y are laevorotatory compounds (C) x is leavorotatory and y is dextrorotatory compound (D) x is dextroratory and y is leavorotatory compound
›Reveal solutionSolution
The 'D/L' label is a configurational descriptor, unrelated to the actual (+)/(−) optical rotation; D-glucose happens to be dextrorotatory and D-fructose happens to be laevorotatory.
Concept and Intuition
Students often assume 'D' means dextrorotatory, but D/L nomenclature (Fischer convention) only describes whether the OH on the highest-numbered stereocentre matches D- or L-glyceraldehyde's configuration — it says nothing about the actual sign of rotation measured in a polarimeter, which is denoted separately by (+) or (−).
Step-by-Step Solution
- D-glucose has a specific rotation of about +52.7∘, i.e. it rotates plane-polarised light clockwise (dextrorotatory) — commonly called 'dextrose'.
- D-fructose has a specific rotation of about −92∘, i.e. it rotates plane-polarised light counter-clockwise (laevorotatory) — commonly called 'laevulose', and this strong laevorotation is why invert sugar (a glucose+fructose mix) is net laevorotatory. …
- AP EAPCET 2023Set eng-2023-05-15-FN1 markMCQQ.The optically inactive compound from the following is (A) 2-Bromopropanal (B) 3-Bromopropanal (C) 3-Bromo 2-iodopropanal (D) 2-Bromo 3-iodopropanal
›Reveal solutionSolution
A compound is optically active only if it has a chiral (stereogenic) carbon — one attached to four different groups. Checking each option, only 3-bromopropanal lacks such a carbon.
Concept and Intuition
Optical activity arises from chirality — the molecule and its mirror image are non-superimposable. The simplest and most common source of chirality in an open-chain molecule is a carbon attached to four different substituents (a stereocentre). If no atom in the molecule has four different groups, the molecule (and its mirror image) are identical, so it is optically inactive.
Step-by-Step Solution
- 2-Bromopropanal: CH3−CHBr−CHO. The middle carbon (C2) is bonded to −CHO, −Br, −CH3, and −H — four different groups → chiral centre → optically active.
- 3-Bromopropanal: OHC−CH2−CH2Br. Here C2 (the only carbon besides the terminal ones) is bonded to −H, −H, −CHO, and −CH2Br — it carries two hydrogens, so it is not a stereocentre. No other carbon qualifies either (C1 is the aldehyde carbon with a double bond to O, C3 has two H's and Br). So the molecule has no chiral centre → optically inactive. …
- AP EAPCET 2023Set eng-2023-05-18-AN1 markMCQQ.How many asymmetric carbons are present in the following molecule? HOH2CCH(Br)CH(Br)CH2OH (A) 3 (B) 1 (C) 4 (D) 2
›Reveal solutionSolution
Only the two central CHBr carbons (C2, C3) each carry four different substituents; the terminal CH₂OH carbons don't qualify, giving 2 asymmetric carbons.
Concept and Intuition
A carbon is "asymmetric" (a stereocentre) if it is attached to four different groups. For a chain like HOH₂C–CHBr–CHBr–CH₂OH, check each carbon in turn.
Step-by-Step Solution
- Number the chain C1(CH₂OH)–C2(CHBr)–C3(CHBr)–C4(CH₂OH).
- C1: bonded to two H's, OH, and C2 — has two identical H's, not a stereocentre.
- C2: bonded to H, Br, –CH₂OH (the C1 side), and –CHBrCH₂OH (the C3 side). These four groups are all different (the C1-side group ≠ the C3-side group) → stereocentre.
- C3: bonded to H, Br, –CH₂OH (the C4 side), and –CHBrCH₂OH (the C2 side) — again four different groups → stereocentre.
- C4: bonded to two H's, OH, and C3 — not a stereocentre.
- Total asymmetric carbons = 2 (C2 and C3).
Common Mistakes …
- AP EAPCET 2023Set eng-2023-05-19-FN1 markMCQQ.Below shown molecules are [FIGURE] (two stereocenter structures labeled X and Y, each a hexane-type carbon chain drawn in zigzag with a stereocenter carbon bearing H, CH3, and Br substituents shown using wedge-and-dash bonds to indicate 3-D configuration; X shows H on a wedge and CH3 on a dash with Br in-plane, Y shows H in-plane and CH3 on a dash with Br on a wedge below) (A) X = Y = Achiral (B) X = Y = chiral (C) X = chiral, Y = Achiral (D) X = Achiral, Y = Chiral
›Reveal solutionSolution
Each stereocentre carries four different groups (alkyl chain, CH3, H, Br), so both X and Y are chiral.
Concept and Intuition
A molecule is chiral when it contains an asymmetric carbon — a carbon bonded to four mutually different groups, giving a non-superimposable mirror image. The way wedge and dash bonds are drawn only sets the 3-D configuration (R or S); it does not create or destroy chirality. What matters is whether the four attached groups are all different.
Step-by-Step Solution
- Structure X: the stereocentre carbon is bonded to a propyl-type chain, a CH3 group, an H atom and a Br atom.
- These four groups are all different ⇒ X has an asymmetric carbon ⇒ X is chiral.
- Structure Y: the stereocentre carbon (a 2-bromobutane-type centre) is bonded to an ethyl-type chain, a CH3 (methyl) fragment, an H atom and a Br atom.
- Again all four groups differ ⇒ Y also has an asymmetric carbon ⇒ Y is chiral.
- Since each has exactly one stereocentre with four different substituents, both molecules are chiral.
Common Mistakes …
- AP EAPCET 2021Set ap-2021-09-03-AN1 markMCQQ.Which of the following has a chiral 'C'? (A) CH2I−CH2I (B) CH3CH2Cl (C) (CH3)2CFCl (D) CH3CH(Cl)(I)
›Reveal solutionSolution
This tests recognizing a chiral (stereogenic) carbon — one bonded to four different groups; only CH3CH(Cl)(I) qualifies.
Concept and Intuition
A carbon atom is chiral (a stereocentre) if and only if it is bonded to four different substituent groups. If any two of the four groups are identical, the carbon has a plane of symmetry locally and is not chiral.
Step-by-Step Solution
- (A) CH2I−CH2I: Consider either carbon — it's bonded to: H, H, I, and CH2I. Two of the four groups (H and H) are identical, so this carbon is NOT chiral.
- (B) CH3CH2Cl: The CH2 carbon is bonded to: H, H, Cl, CH3. Again two H's are identical — NOT chiral. (The CH3 carbon has 3 H's, even less chiral.)
- (C) (CH3)2CFCl: The central carbon is bonded to: CH3, CH3, F, Cl. Two identical CH3 groups — NOT chiral. …
- AP EAPCET 2021Set eng-2021-08-19-FN1 markMCQQ.The number of optical isomers possible for 2 – Bromo 3 – Chloro butane are ________ (A) 8 (B) 10 (C) 4 (D) 2
›Reveal solutionSolution
With two different stereocentres bearing different halogens, no meso compound is possible, so the count is the full 2n=4 distinct optical isomers.
Concept and Intuition
For a molecule with n stereocentres, the maximum number of stereoisomers is 2n, but this reduces if the molecule has an internal symmetry allowing a meso compound (an achiral diastereomer where one half's chirality cancels the other's). A meso compound requires the two stereocentres to carry the same set of substituents so that a mirror plane can map one centre exactly onto the other. Here, though, the two stereocentres carry different halogens (Br on C2, Cl on C3), so the molecule has no such symmetry, and no meso form exists.
Step-by-Step Solution
- Draw the structure: CH3−CHBr−CHCl−CH3 (2-bromo-3-chlorobutane).
- Identify stereocentres: C2 (bonded to CH3, Br, H, and the rest of the chain) and C3 (bonded to CH3, Cl, H, and the rest of the chain) — both are genuine stereocentres since each has 4 different groups.
- Since C2's halogen (Br) differs from C3's halogen (Cl), there is no mirror-symmetry relating the two centres — unlike, say, 2,3-dibromobutane where both centres are identical and a meso form exists. …
- AP EAPCET 2021Set eng-2021-08-24-FN1 markMCQQ.Which statement regarding the following structures are true? [FIGURE] (a 2x2 grid of four stereochemical structures labelled (A), (B), (C), (D), each a wedge/dash (Fischer-style) drawing of a 2,3-dihydroxybutanedioic-acid-type skeleton HO-CH-COOH / HOOC-CH-OH: (A) has HO with dashed/hashed bond top-left and OH with dashed/hashed bond bottom-right, COOH top-right, HOOC bottom-left; (B) has HOOC top-left, OH with hashed bond top-right, HO with hashed bond bottom-left, COOH bottom-right; (C) has HO with hashed bond top-left, COOH top-right, a bold wedge OH pointing up from the central vertex with H shown bottom-right, HOOC bottom-left; (D) has HO with hashed bond top-left, COOH top-right, HOOC bottom-left, OH with hashed bond bottom-right) (A) A and B are diastereomers, C and D are enantiomers (B) A and B are enantiomers, C and D are enantiomers (C) A and B are enantiomers, C and D are diastereomers (D) A and B are diastereomers, C and D are diastereomers
›Reveal solutionSolution
(A) and (B) are related by a genuine mirror reflection (enantiomers); (C) differs from (D) (which is drawn identically to (A)) at only one of its two stereocentres, making that pair diastereomers rather than mirror images.
Concept and Intuition
For a molecule with two stereocentres (like tartaric acid, HOOC–CHOH–CHOH–COOH): flipping both stereocentres gives the true mirror image (an enantiomer, non-superimposable), while flipping only one of the two stereocentres gives a diastereomer (specifically an epimer) — same connectivity, different spatial relationship, and generally different physical properties (unlike enantiomers, which share all scalar physical properties). Reading these wedge/hash drawings, a genuine left–right flip of the whole 2-D structure that keeps every wedge as a wedge and every hash as a hash is a valid way to represent a true mirror reflection (reflecting through a vertical plane leaves front/back and up/down unchanged, and only swaps left/right).
Step-by-Step Solution
- Compare (A) and (B): (B)'s substituent layout is the exact left–right mirror of (A)'s, with the wedge/hash character of every bond preserved (only the "COOH"/"HOOC" and "OH"/"HO" reading direction flips, which is just a labelling convention for which end faces the bond, not a chemical difference).
- A left–right reflection that preserves all wedge/hash assignments is a genuine mirror operation (reflection through the vertical plane), so both stereocentres are inverted together — this is precisely what defines an enantiomer pair. Hence A and B are enantiomers.
- Now compare (D) to (A): (D)'s substituent layout (HO hashed upper-left, COOH plain upper-right, HOOC plain lower-left, OH hashed lower-right) is identical to (A)'s — the same molecule, same stereochemistry at both centres.
- Compare (C) to (A)/(D): the left stereocentre in (C) is unchanged from (A) (HO hashed upper-left, HOOC plain lower-left). But the right stereocentre is drawn differently: in (A)/(D), OH is hashed (pointing back) at that carbon (with H implicit, pointing front); in (C), OH is explicitly a bold wedge (pointing front) and H is explicitly hashed (pointing back) — this is the spatially inverted configuration at that one carbon. …
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