An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4cm and 4.8cm, respectively. The ratio of minimum and maximum velocities of fluid in this pipe is

An ideal fluid flows (laminar flow) through a pipe of non-uniform diam

1.	An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4cm and 4.8cm, respectively. The ratio of minimum and maximum velocities of fluid in this pipe is
Answer» `(81)/(256)` `(9)/(16)` `(3)/(4)` `(3)/(16)` SOLUTION :From continuity equation, `A_(1) v_(1) = A_(2) v_(2)` `:. (v_(1))/(v_(2)) = (A_(2))/(A_(1)) " " (A_(2))/(A_(1)) = ((pi D_(2)^(2))/(4))/((pi D_(1)^(2))/(4)) = (D_(2)^(2))/(D_(1)^(2))` `:. (v_(1))/(v_(2)) = ((D_(2))/(D_(1)))^(2)` `:. (v_(1))/(v_(2)) = ((4-8)/(6-4))^(2) = ((3)/(4))^(2)` `:. (v_(1))/(v_(2)) = (9)/(16)`