For the reaction, $2A + B\,\to $ products , when the concentrations of $A$ and $B$ both were doubled, the rate of the reaction increased from $0.3\,mol\,L^{-1}\,s^{-1}$ to $2.4 \,mol\,L^{-1}\,s^{-1}.$ When the concentration of $A$ alone is doubled, the rate increased from $0.3\,mol\,L^{-1}\,s^{-1}$ to $0.6\,mol\,L^{-1}\,s^{-1}.$ Which one of the following statements is correct?

  • [JEE MAIN 2019]
  • A

    Total order of the reaction is $4$

  • B

    Order of the reaction with respect to $B$ is $2$

  • C

    Order of the reaction with respect to $B$ is $1$

  • D

    Order of the reaction with respect to $A$ is $2$

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  • [AIEEE 2003]