A chiral $C_5H_{10}O$ ether reacts with hot $HI$ to give a $C_5H_{10}I_2$ product.Treatment of this with hot $KOH$ in ethanol produces $1$,$3$-pentadiene.What is the structure of the original ether?

Question

$\begin{array}{1 1} a \\ b \\ c\\ d\end{array}$