(a)
Given, $C = \left( \frac{12}{13} \right) \times 100\%,\ \ H = \left( \frac{1}{13} \right) \times 100\%$
$\therefore$ $C = 92.3\%\ H = 7.69\%$
$C = \frac{92.3}{12} = 7.69 = \frac{7.69}{7.69} = 1$
$H = \frac{7.69}{1} = 7.69 = \frac{7.69}{7.69} = 1$
$\therefore$ Empirical formula of hydrocarbon is $C_{1}H_{1} = CH$
$\therefore$ A has empirical formula $CH$ and decolourises bromine water.
$\therefore$ It is alkyne which is $C_{2}H_{2}$.
$\therefore$ B has empirical formula $CH$ and does not decolourise bromine water.
$\therefore$ It is benzene $C_{6}H_{6}.$