A biologically active compound, Bombykol $\left({\mathrm{C}}_{16}{\mathrm{H}}_{30}\mathrm{O}\right)$ is obtained from a natural source. The structure of the compound is determined by the following reactions:

(a) On hydrogenation, Bombykol gives a compound $\mathrm{A},$ ${\mathrm{C}}_{16}{\mathrm{H}}_{34}\mathrm{O}$, which reacts with acetic anhydride to give an ester.

(b) Bombykol also reacts with acetic anhydride to give another ester, which on oxidative ozonolysis $\left({\mathrm{O}}_3/{\mathrm{H}}_2{\mathrm{O}}_2\right)$ gives a mixture of butanoic acid, oxalic acid and $10$-acetoxy decanoic acid.

Determine the number of double bonds in Bombykol. Write the structures of compound $\left(\mathrm{A}\right)$ and Bombykol. How many geometrical isomers are possible for Bombykol?