Question

A physical quantity $X$ is expressed as velocity $=\sqrt{\frac{X}{Density}}$ The dimension of $X$ are

• A. $M{L}^{-1}{T}^{-2}$
• B. $ML{T}^{-2}$
• C. $ML{T}^{-1}$
• D. $M{L}^{-1}{T}^{-3}$

Answer 1

The correct option is A $M{L}^{-1}{T}^{-2}$

$\left[X\right]=\left[\right(velocity{)}^{2}Density]$

$=\left[\right(L^2{T}^{-2}\left)M{L}^{-3}\right]=\left[M{L}^{-1}{T}^{-2}\right]$