The correct option is D the half-life of a first-order reaction does not depend on [A0]; the half-life of a second-order reaction does depend on [A0]
In both first and second order reaction, the rate depends on the reactant concentration.
Both first and second order reactions can be catalyzed.
For first order reaction,
t1/2=0.693k,
Thus, half life period is independent of initial concentration of reactant.
For second order reaction, t1/2=1k[A0]
Thus, half life period depends on initial concentration of reactant.
Hence, option (d) is correct.