The order of basicity is $I > III > II > IV$ The lone pair of electrons on N is more readily available for protonation in I and III then in II. Ill contains an oxygen atom which has -I effect due to which it is less basic than I. In compound IV lone pair of $e^-s$ on N-atom is contributed towards the aromatic sextet formation and hence is not at all available for protonation. Hence option (b) is correct.
The Order of reaction refers to the relationship between the rate of a chemical reaction and the concentration of the species taking part in it. In order to obtain the reaction order, the rate equation of the reaction will given in the question.
Characteristics of the reaction order
Reaction order represents the number of species whose concentration directly affects the rate of reaction.
It can be obtained by adding all the exponents of the concentration terms in the rate expression.
The order of reaction does not depend on the stoichiometric coefficients corresponding to each species in the balanced reaction.
The reaction order of a chemical reaction is always defined with the help of reactant concentrations and not with product concentrations.
Integer or a fraction form the value of the order of reaction will be there and it can be zero.