Test if the following equations are dimensionally correct : (a) h=2Sco

1.	Test if the following equations are dimensionally correct : (a) h=2Scosθρrg, (b) u=√Prho, (c) V=πPr4t8ηl, (d) v=12π√mglI; where h = height, S = surface tension, ρ = density, P = pressure, V = volume, η = coefficient of viscosity, v = frequency and I = moment of inertia.
Answer» Test if the following equations are dimensionally correct : (a) $h = \frac{2 S c o s θ}{ρ r g}$ , (b) $u = \sqrt{\frac{P}{r h o}}$ , (c) $V = \frac{π P r^{4} t}{8 η l}$ , (d) $v = \frac{1}{2 π \sqrt{\frac{m g l}{I}}}$ ; where h = height, S = surface tension, $ρ$ = density, P = pressure, V = volume, $η$ = coefficient of viscosity, v = frequency and I = moment of inertia.

Test if the following equations are dimensionally correct : (a) h=2Scosθρrg, (b) u=√Prho, (c) V=πPr4t8ηl, (d) v=12π√mglI; where h = height, S = surface tension, ρ = density, P = pressure, V = volume, η = coefficient of viscosity, v = frequency and I = moment of inertia.

Answer»

Test if the following equations are dimensionally correct :

(a) $h = \frac{2 S c o s θ}{ρ r g}$ ,

(b) $u = \sqrt{\frac{P}{r h o}}$ ,

(d) $v = \frac{1}{2 π \sqrt{\frac{m g l}{I}}}$ ;

where h = height, S = surface tension, $ρ$ = density, P = pressure, V = volume, $η$ = coefficient of viscosity, v = frequency and I = moment of inertia.

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Test if the following equations are dimensionally correct : (a) h=2Scosθρrg, (b) u=√Prho, (c) V=πPr4t8ηl, (d) v=12π√mglI; where h = height, S = surface tension, ρ = density, P = pressure, V = volume, η = coefficient of viscosity, v = frequency and I = moment of inertia.

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