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.)
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Start your 14-day free trial to unlock the full solution →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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