Which of the following optioms correctly represents relationship between $t_{7/8}$ and $t_{1/2}$ where $t_{7/8}$ represent time required for concentration to become $\frac{1}{8} \,th$ of original for  a reaction of order $'n'$

  • A

    $t_{7/8} =(2n+ 1)\ t_{1/2}$

  • B

    $t_{7/8} = t_{1/2}\, [2^{n-1} - 1]$

  • C

    $t_{7/8} = t_{1/2}\, [2^{n-1} + 1]$

  • D

    $t_{7/8} = t_{1/2}\, [2^{2n-2} + 1+2^{n-1}]$

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 Which of the following statements is false ?

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obey the rate expression as $\frac{{dX}}{{dt}} = k{[A]^m}{[B]^n}$.

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  • [AIIMS 2011]