Question

If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is

• A. $P{V}^2{T}^2$
• B. $P^{-1}{V}^2{T}^2$
• C. $PV{T}^2$
• D. $P^{-1}V{T}^2$

Answer 1

The correct option is A

$P{V}^2{T}^2$

$F\alpha P^x{V}^y{T}^z$

Substituting dimensional formula and comparing both sides, we get

$x=1,y=2,z=2$