A non-viscous liquid of constant density `1000kg//m^3` flows in a streamline motion along a tube of variable cross section. The tube is kept inclined in the vertical plane as shown in Figure. The area of cross section of the tube two point P and Q at heights of 2 metres and 5 metres are respectively `4xx10^-3m^2` and `8xx10^-3m^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.

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 `