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(B) The half-life $(t_{1/2})$ of a reaction of order $n$ is related to the initial concentration '$a$' by the expression: $t_{1/2} \propto a^{1-n}$.Fo

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$1$

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(B) The half-life $(t_{1/2})$ of a reaction of order $n$ is related to the initial concentration '$a$' by the expression: $t_{1/2} \propto a^{1-n}$.For the graph between $t_{1/2}$ and '$a$' to be a straight line parallel to the $x-$axis,$t_{1/2}$ must be independent of the initial concentration '$a$'.This implies that the exponent of '$a$' must be zero,i.e.,$1-n = 0$,which gives $n = 1$.Therefore,it is a first-order reaction.

For which order reaction is a straight line parallel to the $x-$axis obtained by plotting a graph between half-life $(t_{1/2})$ and initial concentration '$a$'?

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