The dimensions of physical quantity X in t

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The dimensions of physical quantity $X$ in the equation Force $ = \frac{X}{{{\rm{Density}}}}$ is given by

A

${M^1}{L^4}{T^{ - 2}}$

B

${M^2}{L^{ - 2}}{T^{ - 1}}$

C

${M^2}{L^{ - 2}}{T^{ - 2}}$

D

${M^1}{L^{ - 2}}{T^{ - 1}}$

The dimensions of physical quantity $X$ in the equation Force $ = \frac{X}{{{\rm{Density}}}}$ is given by

$[X] = [F] × [\rho] $ $= [ML{T^{ - 2}}] \times \left[ {\frac{M}{{{L^3}}}} \right] $ $= [{M^2}{L^{ - 2}}{T^{ - 2}}]$