AIIMS 2018 Chemistry Zero Order Reactions MCQ Question

In a zero-order reaction, the half-life (t₁/₂) is directly proportional to the initial concentration of the reactant, given by the formula $t_{1/2} = \frac{[A]_0}{2k}$, where $[A]_0$ is the initial concentration and $k$ is the rate constant. The quarter-life (t₁/₄) can be expressed as $t_{1/4} = \frac{[A]_0}{4k}$, leading to the relationship $t_{1/2} = 2 t_{1/4}$. Therefore, none of the provided options accurately reflect this relationship, making option C (N/A) the only valid choice, as the other options incorrectly suggest different proportionalities.