calculate the dimensional formula for critical velocity.....
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Answered by
37
Critical velocity (VC) = Re η / ρ r
where
Re = Reynolds number
η = coefficient of viscosity
ρ = density of fluid
r = radius of tube.
Dimensional Formula of Reynolds number (Re) = M0L0T0
Dimensional Formula of coefficient of viscosity (η) = M1L-1T-1
Dimensional Formula of Density of fluid (ρ) =M1L-3T0
Dimensional Formula of radius (r) = M0L1T0
Putting these values in above equation we get,
VC = [M0L0T0] [M1L-1T-1] / [M1L-3T0] [M0L1T0]
Dimensional Formula of Critical velocity(VC) = M0L1T-1
SI unit of Critical velocity(VC) is ms-1
where
Re = Reynolds number
η = coefficient of viscosity
ρ = density of fluid
r = radius of tube.
Dimensional Formula of Reynolds number (Re) = M0L0T0
Dimensional Formula of coefficient of viscosity (η) = M1L-1T-1
Dimensional Formula of Density of fluid (ρ) =M1L-3T0
Dimensional Formula of radius (r) = M0L1T0
Putting these values in above equation we get,
VC = [M0L0T0] [M1L-1T-1] / [M1L-3T0] [M0L1T0]
Dimensional Formula of Critical velocity(VC) = M0L1T-1
SI unit of Critical velocity(VC) is ms-1
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Answered by
10
The dimensional formula for critical velocity is L1T-1
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