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Water flows steadily through a horizonta...

Water flows steadily through a horizontal pipe of a variable cross-section. If the pressure of water is p at a point where the velocity of flow is v, what is the pressure at another point where the velocity of flow is 2v, `rho` being the density of water?

A

`P-(3 rho v^2)/(2)`

B

`P-(rho v^2)/(2)`

C

`P-(3 rho v^2)/(4)`

D

`P- rho v^2`

Text Solution

Verified by Experts

The correct Answer is:
A
According to Bernoulli.s principle -
`P+1/2 rho v^2` = Constant
`implies P+1/2 rho v^2=P.+1/2 rho(2v)^2`
`implies P.=P-3/2 rho v^2`.
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