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In this figure, an ideal liquid flows th...

In this figure, an ideal liquid flows through the tube having uniform area of cross-section and is held in vertical plane. Find the ratio of speed of liquid at A and B and also find the pressure difference between- these points.

Text Solution

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As area of cross-section is uniform therefore according to equation of continuity speed of liquid is same at all points
i.e. `v_(A) = v_(B)`
But during motion of liquid from A to B the potential energy decreases
`therefore` According to Bernoullis theorem
`1/2 v^(2) + gh + P/rho` =constant
`implies gh + P_(A)/rho = P_(B)/rho`
`implies P_(B) - P_(A)= rhogh`
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