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which of the following compounds with molecular formula $ {C_4}{H_8}O $
Will not show functional isomers
 $ \left( A \right) $ aldehyde and ketone
 $ \left( B \right) $ alkene and ketone
 $ \left( C \right) $ aldehyde and alkene
 $ \left( D \right) $ epoxides and esters

Answer
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Hint : Isomers are the molecules which have the same molecular formula but different arrangements of atoms in the space . Even though they have the same molecular formula they don’t have the same physical and chemical properties .

Complete step by step answer
Functional isomers are those isomers which have the same molecular formula but different functional groups .
Going through the options
 $ \left( A \right) $ $ $ Aldehyde and ketone : In the question we have given $ {C_4}{H_8}O $ . $ $ Butanal is the possible structure from this molecular formula $ C{H_3}C{H_2}C{H_2}CHO $ this is an aldehyde .
2-Butanone which is a ketone can also be formed $ C{H_3}COC{H_2}C{H_3} $
So , these two show functional isomers .
 $ \left( B \right) $ Alkenol or alcohol the possible structure is cyclobutanol . ketone will be 2 butanone so these two will also show functional isomerism .
 $ \left( C \right) $ Similarly if we take aldehyde and alkene then they will also show functional isomerism .
 $ \left( D \right) $ Now if we take epoxides to form a cyclic ring with three atoms . which is like an equilateral triangle , it is highly reactive.
Now in case of esters , it has two oxygen in its structure and the molecular formula given contains one oxygen atom , it is obtained by the reaction of carboxylic acid and alcohol .
 so clearly epoxides and esters are not functional isomers .
Option $ \left( D \right) $ will be the answer.

Note
The molecular formula have lots of functional isomers some are cis-2,3 epoxy butane , trans-2,3epoxybutane , methoxy cyclopropane , allyl methyl ether , crotyl alcohol etc. there are many other isomers like position isomers , chain isomers ,skeletal isomers etc.