Q. The dimensions of physical quantity $X$ in the equation $Force\ = \frac{X}{Density\ }$ 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) $M^{1}L^{- 2}T^{- 1}$
Explanation
$\lbrack X\rbrack = \lbrack F\rbrack \times \lbrack\rho\rbrack = \left\lbrack MLT^{- 2} \right\rbrack \times \left\lbrack \begin{array}{r} \frac{M}{L^{3}} \\ \ \end{array} \right\rbrack = \lbrack M^{2}L^{- 2}T^{- 2}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.