The rate of a gaseous reaction is given by the expression $k[A][B]$. If the volume of the reaction vessel is suddenly reduced to $\large\frac{1}{4}$ th of the initial volume , the reaction rate relating to original rate will be

Question

$(A)\;\frac{1}{10} \\ (B)\;\frac{1}{8} \\(C)\;8 \\(D)\;16$