The correct option is (c) It quadruples
To explain I would say: Let the initial concentration of reactant = [A]
Given concentration of reactant = 2 x [A]
We know that the rate of a second order reaction = k x [A]^2
Therefore, rate for 2 x [A] = k x 4 x [A]^2
Therefore, the rate quadruples when the concentration of the reactant is doubled in a second order kinetic reaction.