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_(A) lt P_(B)`
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) implies P_(A) lt P_(B)`.