Which of the following compounds can exhibit geometrical isomerism? (a) \(\mathrm{IBrC}=\mathrm{CFCI}\) (b) Cinnamic acid (c) Benzophenone oxime (d)

We will first identify the structure of each given compound: (a) \(\mathrm{IBrC}=\mathrm{CFCI}\) : this structure contains a carbon-carbon double bond between two carbon atoms, each of which has two different halogens attached to it. (b) Cinnamic acid: the structure of cinnamic acid is \(\mathrm{C_6H_5CH=CHCOOH}\), which has a carbon-carbon double bond with a phenyl group and an acidic group attached to it. (c) Benzophenone oxime: the structure of benzophenone oxime is \(\mathrm{C_{6}H_{5}C=NOH}\), which contains a carbon-nitrogen double bond with a phenyl group, an oxygen atom, and a hydrogen atom. (d) 1, 3-dibromopropane: The structure of 1, 3-dibromopropane is \(\mathrm{CH_2BrCH_2CH_2Br}\), which has no double bonds or special cyclic structures.

Next, let's determine if these compounds can exhibit geometrical isomerism based on their structures: (a) \(\mathrm{IBrC}=\mathrm{CFCI}\): This compound has a carbon-carbon double bond, and each carbon has two different halogens attached to it. Therefore, this compound can exhibit geometrical isomerism in the form of cis-trans isomers. (b) Cinnamic acid: This compound has a carbon-carbon double bond, with a phenyl group and an acidic group attached to it. The double bond can allow for geometrical isomerism in the form of cis-trans isomers. (c) Benzophenone oxime: Although it has a carbon-nitrogen double bond, it cannot exhibit geometrical isomerism due to the similar groups attached to the nitrogen atom (oxygen and hydrogen). (d) 1, 3-dibromopropane: This compound does not have any double bonds or special cyclic structures that would permit geometrical isomerism. Therefore, it cannot exhibit geometrical isomerism.

From the given options, (a) \(\mathrm{IBrC}=\mathrm{CFCI}\) and (b) Cinnamic acid can exhibit geometrical isomerism. The other two compounds, (c) Benzophenone oxime and (d) 1, 3-dibromopropane, cannot exhibit geometrical isomerism due to their structures.