Determine the order of reaction on the basis of following data for the reaction $A + B \to C$

Exp. $[A]$ $[B]$ Rate of reaction
$1$ $0.1$ $0.1$ $2 \times {10^{ - 3}}\,mol\,{L^{ - 1}}\,{\sec ^{ - 1}}$
$2$ $0.4$ $0.1$ $0.4 \times {10^{ - 2}}\,mol\,{L^{ - 1}}\,{\sec ^{ - 1}}$
$3$ $0.1$ $0.2$ $1.4 \times {10^{ - 2}}\,mol\,{L^{ - 1}}\,{\sec ^{ - 1}}$

  • A

    $1/2$

  • B

    $2.83$

  • C

    $10/3$

  • D

    $3.83$

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Observation $[A]$ $[B]$ Rate of reaction
$1$ $0.1$ $0.1$ $2\times10^{-3}\, mol\, L^{-1}\,sec^{-1}$
$2$ $0.2$ $0.1$ $0.4\times10^{-2}\, mol\, L^{-1}\,sec^{-1}$
$3$ $0.1$ $0.2$ $1.4\times10^{-2}\, mol\, L^{-1}\,sec^{-1}$