\((b)\) is wrong because plot of \(\log\) \( [A] \) vs \( t\) is a straight line
\((c)\) is wrong because time taken for \(75\%\) reaction is two half life.
\((d)\) is correct because in \(k = A{e^{ - {E_a}/RT}}\), \({E_{a/RT}}\) is dimensionless hence \(A\) has the unit of \(K.\)
$(R= 8.314\,JK^{-1} \,mol^{-1}$ and $\log 2=0.301)$