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

Question

A force is represented by $F=a x^2+b t^{\frac{1}{2}}$

where $x=$ distance and $t=$ time. The dimensions of $b^2 / a$ are:

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

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

$\left[M L T^{-2}\right]$

$\left[M L^{-1} T^{-1}\right]$

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