Reaction rate between two substance $A$ and $B$ is expressed as following $:$ rate $= k[A ]^n[B]^m$ If the concentration of $A$ is doubled and concentration of $B$ is made half of initial concentration, the ratio of the new rate to the earlier rate will be

  • [AIEEE 2012]
  • A

    $m+n$

  • B

    $n-m$

  • C

    $\frac{1}{{{2^{(m + n)}}}}$

  • D

    ${2^{(n - m)}}$

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  • [AIIMS 2011]

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