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  • A liquid flows through a horizontal tube the velocities of liquid in two section which have areas of cross section A1 and A2 and velocities  V1&

A liquid flows through a horizontal tube the velocities of liquid in two section which have areas of cross section A1 and A2 and velocities  V1 and V2 respectively. The difference in the levels of the liquid in two vertical tube is h, then which of the following statements are true -

           . 

Option: 1

The volume of the liquid following through the tube in unit time is A1V1 


Option: 2

v_{2}-v_{1}=\sqrt{2gh}

 


Option: 3

{v_{2}}^{2}-{v_{1}}^{2}=2gh


Option: 4

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


Answers (1)

best_answer

As we learned 

 

Venturimeter -

It is a device based on  Bernoulli's theorem used to measure the rate of flow of liquid through pipes.

- wherein

 

 According to Bernoulli's theorem 

P_{1}+\frac{1}{2}\rho {v_{1}}^{2}=P_{2}+\frac{1}{2}\rho {v_{2}}^{2}

\Rightarrow P_{1}-P_{2}=\frac{1}{2}\rho ({v_{2}}^{2}-{v_{1}}^{2})

\Rightarrow \frac{1}{2}\rho ({v_{2}}^{2}-{v_{1}}^{2})=\rho gh\Rightarrow {v_{2}}^{2}-{v_{1}}^{2}=2gh

 

 

Posted by

himanshu.meshram

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