Question

Find the dimensions of physical quantity X in the equation.
Force = $\frac{X}{density}$.

Answer 1

Force $=\frac{X}{density}$

$X=$ force $\times$ density

$=$ Newton $\times$ $\frac{kg}{m^3}$ force $=$ mass $\times$ acceleration

$=\frac{kg.{ms}^{-1}.kg}{m^3}$ density $=\frac{mass}{volume}$.

$X={kg}^2{m}^{-2}{s}^{-1}$

$X=\left[M^2{L}^{-2}{T}^{-1}\right]$