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.

Options

A. `P_(B) gt P_(A)`
B. `P_(B) lt P_(A)`
C. `P_(A)=P_(B)`
D. none of these

Answer

A

Explanation

`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)`