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What are the dimensions of Reynolds numb...

What are the dimensions of Reynolds number ?

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`R=(rhov_(0)D)/(eta)`
(`rho` is density of the fluid, `v_(0)` is the crictical velocity, D is diameter through which the fluid is flowing and `eta ` is the coefficient of viscosity of the fluid)
`R=([ML^(-3)][LT^(-1)][L])/([ML^(-1)T^(-1)])=[(ML^(-1)T^(-1))/(ML^(-1)T^(-1))]=[M^(0)L^(0)T^(0)]`
`therefore" R is dimensionless."`
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