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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

`2000 J//m^(3) `

B

` 1000 J // m^(3) `

C

` 1575 J // m^(3) `

D

`9000 J//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) xx 10^(3)(1^(2) - 3^(2)) + 10^(3) xx 10(0.5)`
` = - 4 xx 10^(3) + 5 xx 10^(3)`
` = 1000 J//m^(3)`
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