1.

A horizontal pipe of cross-section diameter 5cm carries water at a speed of 4ms^(-1). The pipe is connected to a smaller pipe with a cross-sectional diameter 4cm. The velocity of water through the smaller pipe is

Answer»

`6.25 ms^(-1)`
`5.0 ms^(-1)`
`3.2 ms^(-1)`
`2.56 ms^(-1)`

Solution :According to the equation of continuity, `A_(1)v_(1)= A_(1) v_(2)`
`:. V_(2) = v_(1) (A_(1))/(A_(2)) = v_(1) ((D_(1))/(D_(2)))^(2) = 4 xx ((5)/(4))^(2) = 6.25 ms^(-1)`


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