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A non viscous liquid of constant density...

A non viscous liquid of constant density `10^(3) kg//m^(3)` flows in stream line motion along a vertical tube PQ of variable cross-section. Height of P and Q are 2m and 2.5m respectively. Area of tube at Q is equal to 3 times the area of tube at 'P'. Then work done per unit volume by pressure as liquid flows from P and Q. Speed of liquid at 'P' is `3 m//s`.

A

`2000J//m^(3)`

B

`1000J//m^(3)`

C

`1575J//m^(3)`

D

`9000J//m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
`P_(1)-P_(2)=(1)/(2)rho (v_(2)^(2)-v_(1)^(2))+rho g(h_(2)-h_(1))`
`=(1)/(2)xx10^(3)(1^(2)-3^(2))+10^(3)xx10(0.5)`
`=-4xx10^(3)+5xx10^(3)`
`=1000J//m^(3)`
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