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JEE Advanced levelSingle correct optionDifficulty 3 of 3nm144

What is the molecular formula of 7,7-dimethylbicyclo[2.2.1]hept-2-ene?

A $C X_{9} H X_{14}$
B $C X_{9} H X_{18}$
C $C X_{9} H X_{16}$
D $C X_{9} H X_{12}$

Answer: A

Carbons: 7 in the ring skeleton plus 2 methyls = 9. A saturated acyclic alkane is

C X_{9} H X_{20}

; two rings (bicyclo) remove 4 H and one C=C removes 2 H, giving

C X_{9} H X_{14}

. Check: DU = (18 + 2 - 14)/2 = 3 (two rings plus one double bond).

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