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NCERT Exemplar · Q17

Q.Structure A is a three-dimensional (wedge-and-dash) drawing of a tetrahedral carbon that bears four different groups: a CH3 group pointing straight up on an ordinary in-plane bond, a Cl atom to the left on a dashed/hashed wedge (going behind the plane of the paper), an H atom to the right on an ordinary in-plane bond, and a Br atom pointing down on a bold/solid wedge (coming forward, out of the plane). Each option below is another wedge-and-dash drawing of the same four groups (CH3, Cl, Br, H) on a central carbon. In which of the representations is the spatial arrangement of the groups different from that in structure A? (More than one option may be correct.)

(i) CH3 up (in-plane); Cl to the left on a dashed wedge (behind); Br to the right (in-plane); H pointing down on a bold wedge (forward).
(ii) CH3 up (in-plane); H to the left on a dashed wedge (behind); Br to the right (in-plane); Cl pointing down on a bold wedge (forward).
(iii) CH3 up (in-plane); Br to the left on a dashed wedge (behind); H to the right (in-plane); Cl pointing down on a bold wedge (forward).
(iv) Br up (in-plane); Cl to the left on a dashed wedge (behind); H to the right (in-plane); CH3 pointing down on a bold wedge (forward).
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The central carbon carries four different groups (CH3, Cl, Br, H) and is therefore chiral. Two wedge-dash drawings show the same arrangement only if one can be rotated into the other (same configuration); they are different if they are non-superimposable mirror images (opposite configuration). Using the rule that interchanging any two groups at a stereocentre inverts the configuration, structure A is matched by (ii) and reversed by (i), (iii) and (iv). So the different ones are (i), (iii) and (iv).

Concept: comparing configurations at a stereocentre

Group priorities (Cahn-Ingold-Prelog): Br > Cl > CH3 > H. Assigning structure A (CH3 up in-plane, Cl left-behind, H right in-plane, Br down-forward) gives the R configuration. A quick and reliable shortcut avoids re-assigning R/S for every picture: each single interchange of two groups at a stereocentre converts a structure into its mirror image (inverts R and S); an even number of interchanges restores the original. So I only need to count how many swaps convert A into each option.

Testing each option against A

Structure A has: CH3 = up, Cl = left (dash), H = right, Br = down (wedge).

  • (i): CH3 up, Cl left (dash), Br right, H down (wedge) — Br and H have exchanged their positions. That is one swap, so opposite configuration (S) — different from A.
  • (ii): CH3 up, H left (dash), Br right, Cl down (wedge) — Cl, Br and H are cyclically moved (Cl: left to down, Br: down to right, H: right to left). A 3-cycle equals two swaps, so same configuration (R) — same as A. …

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