The correct option is
D In acyclic double-bonded systems, the terminal groups/atoms experience steric hindrance between them.
Steric hindrance between the terminal groups is greater in cis-isomer because bulkier terminal groups are close to each other in cis-isomer.
∴
Generally, cis-isomer of acyclic alkene system is less stable
than the trans-isomer.
Hence, trans form of compound (a) is stable.
For cycloalkene rings, when the number of carbon is less than 8 its trans form does not exist. Hence, no geometrical isomerism across the pi-bond is observed in 3-7 membered cycloalkenes.
Cycloalkenes with 8 or more carbons in a ring exhibit geometrical isomerism.
From cyclooctene, the ring is large enough to allow the existence of trans-isomers. But cis is the more stable form.
For cycloalkenes having ring size of 12 or more carbon atoms, trans-isomer is more stable than cis-isomer.
Hence, compound (d) has stable trans isomer than cis.