A non-viscous liquid of constant density `1000 kg//m^(3)` flows in a streamline notion along a tube of variable cross-section. The tube is kept inclined in the vertical plane as shown in the figure. The area of cross-section of the tube at two points `P` and `Q` at heights of 2m and 5m are respectively `4xx10^(3)m^(2)` and `8xx10^(-3)m^(2)`. The velocity of the liquid at point P is `1m//s`. Find the work done per unit volume by the pressure and the gravity forces as the fluid flows from point P to Q. Take `g=9.8m//s^(2)`.

Options

A. zero
B. `-29400 J//m^3 `
C. `-29375J// m ^ 3 `
D. `-29025 J//m^ 3 `

Answer

B

Explanation

` W _ 2 = rho g(h_1 - h _ 2 ) = { (10) ^3 (9.8) (2-5)} or W_2 = -29400 J//m ^ 3 `