Question

A system has basic dimensions as density $\left[D\right],$ velocity $\left[V\right]$ and area $\left[A\right].$ The dimensional representation of force in this system is :-

• A. $\left[A V^{2} D\right]$
• B. $\left[A^{2} V D\right]$
• C. $\left[A V D^{2}\right]$
• D. $\left[A^{0} VD\right]$

Answer 1

Answer: (A)

$\left[\right.$ Force $\left]\right.=\left[\right.$ Mass $\times $ Acceleration $\left]\right.$
$=\left[\right.$ (Density $\times $ Area $\times $ Length) $\times \frac{Velocity}{Time}$ ]
$=\left[\right.$ Density $\times $ Area $\times \left(Velocity\right)^{2}$ ] $=\left[AV^{2} D\right]$