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. `1/4rhov^2`
B. `3/4rhov^2`
C. `rhov^2`
D. `1/2rhov^2`

Answer

B

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=3/4rhoav^2 , P=3/4rhov^2`