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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 :
  • 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 $\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\right]$
JEE MAIN 2024, Diffcult
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