A liquid of density p is coming out of a hose pipe of radius a with horizontal speed `upsilon` and hits a mesh . 50 % of the liquid passes through the mesh unaffected . 25 % comes back with the same speed .The resultant pressure on the mesh will be:

Options

A. ` (1)/(4) rho v^ 2 `
B. ` (3)/(4) rho v ^ 2 `
C. ` rho v ^ 2 `
D. ` (1)/(2) rho v ^ 2 `

Answer

A

Explanation

Force applied by a stream of fluid on a surface, if fluid becomes stationary upon collision is `F=rhoav^(2)`
Here: `F=rhoav^(2)xx(1)/(4)xx2+rhoav^(2)(1)/(4)xx1," "F=(3)/(4)rhoav^(2)," "P=(3)/(4)rhov^(2)`