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# Find the dimension of physical quantity $X$ in the equation $Force=\large\frac{X}{Density}$

$(a)\;M^1L^4T^{-2}\quad (b)\;M^2L^{-2}T^{-1} \quad (c)\;M^2L^{-2}T^{-2}\quad (d)\;M^1L^{-2}T^{-1}$

$X=Force \times Density$
$\quad=MLT^{-2} \large\frac{M}{L^3}$
$\quad=M^2L^{-2}T^{-2}$
$x=M^2L^{-2}T^{-2}$
Hence c is the correct answer.

edited Jan 9, 2014 by meena.p