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A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity ( η ) flowing per second through a tube of radius (r) & lenght (l) & having a pressure (P) across its end is a. V = π pr 4 / 8 ηl b. V = π ηl / 8pr 4 c. V = 8p ηl / π r 4 d. V = π p η / 8lr 4


A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity (η) flowing per second through a tube of radius (r) & lenght (l) & having a pressure (P) across its end is

a.  V = π pr4 / 8ηl

b. V =  π ηl / 8pr4

c. V = 8pηl / π r4

d. V = π pη / 8lr4


Grade:upto college level

1 Answers

Om
12 Points
4 years ago
I know its kindda late and its not accurate method but here it is....Since the length and the radius have same dimensions this question can`t get solved by dimensional method. So you should put the dimensions of all quantities in each option. The option which will give you `L cube` dimension will be the correct one.

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