A tank containing a liquid has a small hole in the bottom through which it escapes. The velocity u at which the liquid escapes is given by                               u = C V ρ g where V is the volume, ρ is the density and g is the acceleration due to gravity. Find the dimension of the constant C using dimensional analysis.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter1: Physics And Measurement
Section: Chapter Questions
Problem 1.67AP: A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its...
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A tank containing a liquid has a small hole in the bottom through which it escapes. The velocity u at which the liquid escapes is given by 

                             u = C V ρ g

where V is the volume, ρ is the density and g is the acceleration due to gravity. Find the dimension of the constant C using dimensional analysis.

A tank containing a liquid has a small hole in the bottom through which it escapes. The velocity u at which the liquid escapes is given by 

                             u = C V ρ g

where V is the volume, ρ is the density and g is the acceleration due to gravity. Find the dimension of the constant C using dimensional analysis.

M − 1 L T

M L T − 1

M − 1 L 0 T

M L 0 T − 1

C is dimensionless.

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