$\frac{x^{2}}{mass}$ has the dimensions of kinetic energy. Then x has the dimensions of

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Pressure

Moment of Inertia

Torque

Impulse

answer is D.

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Detailed Solution

$\begin{aligned} \frac{X^{2}}{m} = K . E . = \frac{1}{2} {mv}^{2} \\ \Rightarrow X^{2} = \frac{1}{2} m^{2} v^{2} ∴ X = \frac{1}{\sqrt{2}} mv \end{aligned}$

$\Rightarrow [X] = [{MLT}^{- 1}]$

$[Impulse] = [{MLT}^{- 1}]$

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