The rate of a reaction increases four-fold when the concentration of reactant is increased 16 times. If the rate of reaction is \[4\times {{10}^{-6}}mol\text{ }{{L}^{-1}}\text{ }{{s}^{-1}}\]when the concentration of the reactant is\[4\times {{10}^{-4}}mol\text{ }{{L}^{-1}}\]. The rate constant of the reaction will be

• A. \[2\times {{10}^{-4}}mo{{l}^{1/2}}{{L}^{-1/2}}{{s}^{-1}}\]
• B. \[1\times {{10}^{-2}}{{s}^{-1}}\]
• C. \[2\times {{10}^{-4}}mo{{l}^{-1/2}}{{L}^{1/2}}{{s}^{-1}}\]
• D. \[25\text{ }mo{{l}^{-1}}L\text{ }mi{{n}^{-1}}\]