A pipe having an internal diameter D is connected to another pipe of same size. Water flows into the second pipe through n holes, each of diameter d. if the water in the first pipe has speed v, the speed of water leaving the second pipe is

Options

A. `(D^(2)v)/(nd^(2))`
B. `(nD^(2)v)/(d^(2))`
C. `(nd^(2)v)/(D^(2))`
D. `(d^(2)v)/(nd^(2))`

Answer

A

Explanation

`A_(1)v_(1)=A_(2)v_(2)`
`pi((D)/(2))^(2)v=pi ((d)/(2))^(2) v' rArr v' (D^(2)v)/(nd^(2))`