We're being asked to determine the order for which half-life period is independent of initial concentration.

Let's determine the equation for the half-life for each order of reaction:

**A. Zero**

*Recall the equation for a zeroth-order half-life:*

$\overline{){{\mathbf{t}}}_{\raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right.}{\mathbf{=}}\frac{{\left[A\right]}_{\mathbf{0}}}{\mathbf{2}\mathbf{k}}}$

**B. First**

The order for which half-life period is independent of initial concentration is:

A. Zero

B. First

C. Second

D. Third

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