Step 1: The Henderson-Hasselbalch equation links pH, pKa and the ratio of ionized to unionized drug. For a weak acid: \(\text{pH} = \text{pKa} + \log\dfrac{[\text{ionized}]}{[\text{unionized}]}\).
Step 2: When pH equals pKa, the equation gives \(\log\dfrac{[\text{ionized}]}{[\text{unionized}]} = 0\), which means the ratio is 1, since \(\log 1 = 0\).
Step 3: A ratio of 1 means the ionized and unionized forms are present in equal amounts, that is 50% ionic and 50% non-ionic. Hence option A is correct.