Question

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

• A. $\left[M^{1}L^{4}T^{-2}\right]$
• B. $\left[M^{2}L^{-2}T^{-1}\right]$
• C. $\left[M^{2}L^{-2}T^{-2}\right]$
• D. $\left[M^{1}L^{-2}T^{-1}\right]$

Answer 1

Answer: (C)

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