a
\(\mathop {C{H_3}C{H_2}OCH{{(C{H_3})}_2}}\limits_{(A)} \xrightarrow{{Conc.\,HI}}\) \(\mathop {C{H_3}C{H_2}I}\limits_{(B)} \, + \,\,\mathop {{{(C{H_3})}_2}CHI}\limits_{(C)} \)

 \(\mathop {C{H_3}C{H_2}I}\limits_{(B)} \,\xrightarrow{{NaOH}}C{H_3}C{H_2}OH\,\) \(\xrightarrow{{[O]}}C{H_3}COOH\)

\(\,\mathop {{{(C{H_3})}_2}CHI}\limits_{(C)} \xrightarrow{{NaOH}}{(C{H_3})_2}CHOH\) \(\xrightarrow{{[O]}}{(C{H_3})_2}CO\)

hence the \(IUPAC\) name of compound is

\(\begin{array}{*{20}{c}}
  {C{H_3} - C{H_2} - O - \mathop {CH}\limits^2  - \mathop {C{H_3}}\limits^1 } \\ 
  {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,} \\ 
  {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{}^3C{H_3}\,\,\,\,\,\,\,} 
\end{array}\)