A force is represented by $\mathrm{F}=a \mathrm{x}^2+\mathrm{bt}^{1 / 2}$. Where $\mathrm{x}=$ distance and $\mathrm{t}=$ time. The dimensions of $\mathrm{b}^2 / \mathrm{a}$ are :

  • [JEE MAIN 2024]
  • A

     $\left[\mathrm{ML}^3 \mathrm{~T}^{-3}\right]$

  • B

    $\left[\mathrm{MLT}^{-2}\right]$

  • C

    $\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]$

  • D

     $\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\right]$

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