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Figure shows an ideal fluid flowing thro...

Figure shows an ideal fluid flowing through a uniform cross-sectional tube in the vertical tube with liquid velocities `v_(A)` and `v_(B)` and pressure `P_(A)` and `P_(B)`. Knowing that offers no resistance to fluid flow then which of the following is true.

A

`P_(B) gt P_(A)`

B

`P_(B) lt P_(A)`

C

`P_(A)=P_(B)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(A)=V_(B)` (since area is uniform)
From bernoulli's principle
`(v_(A)^(2))/2+gh+(p_(A))/(rho)=(v_(B)^(2))/2+0+(p_(B))/(rho) rArr p_(A) lt p_(B)`
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