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A non-viscous liquid of constant density...

A non-viscous liquid of constant density `500 kg//m^(3)` flows in a variable cross-sectional tube. The area of cross section of the tube at two points `P` and `Q` at heights of `3 m` and `6 m` are `2 xx 10^(-3) m^(3)` and `4 xx 10^(-3) m^(3)`, respectively. Find the work done per unit volume by the forces of gravity as the fluid flows from point `P` to `Q`.

Text Solution

Verified by Experts

Work done by per unit volume by force of gravity
`=-` change in potential energy per unit volume
`:. W=/_\U=-rhog(h_(2)-h_(1))=-rhot(6-3)`
`=-3xx500xx10=-15xx10^(4)J//m^(3)`
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Knowledge Check

  • A non-viscous fluid of constant density of 1000kg//m^(3) flows in stream line motion along a tube of variable cross-section The area of cross-section at two P and Q at lengths 5m are 40 cm^(2) and 20 cm^(2) respectively. If velocity of fluid at P is 3 m//s then find velocity of fluid at Q.

    A
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    B
    `4m//s`
    C
    `5m//s`
    D
    `6m//s`

  • 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
    `1500J//m^(3)`
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    `9000J//m^(3)`

  • Speed of transverse wave in a string of density 100kg//m^(3) and area of cross-section 10mm^(2) under a tension of 106^(3) N is

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    1000m/s
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    200m/s
    D
    2000m/s