If ' \( a \) ' is the initial concentration of the reactant, the half-life period of the reactio...

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If ' \( a \) ' is the initial concentration of the reactant, the half-life period of the reaction of \( n^{\text {th }} \) order is inversely proportional to :
(a) \( a^{n-1} \)
(b) \( a^{n} \)
(c) \( a^{1-n} \)
(d) \( a^{n+1} \)
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