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

Question

A system has basic dimensions as density [D], velocity [V] and area [A]. The dimensional representation of force in this system is :- (A) [A V2 D] (B) [A2 V D] (C) [A V D2] (D) [A0 VD]

Tardigrade Admin · Accepted Answer

[. Force ].=[. Mass × Acceleration ]. =[. (Density × Area × Length) × (Velocity/Time) ] =[. Density × Area × (Velocity)2 ] =[AV2 D]

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

$[A V^{2} D]$

$[A^{2} V D]$

$[A V D^{2}]$

$[A^{0} V D]$

$[$ Force $] = [$ Mass $\times$ Acceleration $]$
$= [$ (Density $\times$ Area $\times$ Length) $\times \frac{V e l oc i t y}{T im e}$ ]
$= [$ Density $\times$ Area $\times (V e l oc i t y)^{2}$ ] $= [A V^{2} D]$

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

[AV2D]

[A2VD]

[AVD2]

[A0VD]