A system has basic dimensions as density \[D], velocity \[V]... | PHYSICS - DIMENSIONAL FORMULAE AND DIMENSIONAL EQUATIONS | SolveeIt | Solveeit

Today, August 18

Question

A system has basic dimensions as density [D], velocity [V] and area [A]. The dimensional representation of force in this system is –

A

$\text{A}\text{V}^{2}D$

B

$A^{2}\text{VD}$

C

$\text{AV}\text{D}^{2}$

D

$A^{0}\text{VD}$

Answer

$\text{A}\text{V}^{2}D$

Explanation

Solution

$\lbrack\text{A}\text{V}^{2}D\rbrack\ = \ \lbrack A\rbrack\ \lbrack V\rbrack^{2}\ \lbrack D\rbrack$

$\mathbf{=}\text{ ML}\text{T}^{\text{-2}}\mathbf{\ }\mathbf{=}\mathbf{\ }\mathbf{\lbrack}\mathbf{F}\mathbf{\rbrack}$