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A liquid flows through a horizontal tube...

A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross section `A_(1)` and `A_(2)` are `v_(1)` and `v_(2)` respectively. The difference in the levels of the liquid in the two vertical tubes is `h`. Then

A

The volume of the liquid flowing through the tube in unit time is `A_1v_1`

B

`v_2-v_1=sqrt(2gh)`

C

`v_2^2-v_1^2=2gh`

D

The energy per unit mass of the liquid is the same in both sections of the tube

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The correct Answer is:
A
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Knowledge Check

  • A liquid flows through a horizontal tube as shown in figure. The velocities of the liquid in the two sections, which have areas of cross-section A_(1) and A_(2) and v_(1) and v_(2) respectively. The differnece in the levels of the liquid in the two vertical tubes is h . then

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    `v_(2)^(2)-v_(1)^(2) = 2 gh`
    B
    `v_(2)^(2)+v_(1)^(2) = 2 gh`
    C
    `v_(2)^(2)-v_(1)^(2) = gh`
    D
    `v_(2)^(2)+v_(1)^(2) = gh`

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