A liquid of density $\rho$ is coming out of a hose pipe of radius a with horizontal speed $v$ and hits a mesh. $50\%$ of the liquid passes through the mesh unaffected. $25\%$ looses all of its momentum and $25\%$ comes back with the same speed. The resultant pressure on the mesh will be:\\
(1) $\frac { 1 } { 4 } \rho v ^ { 2 }$\\
(2) $\frac { 3 } { 4 } \rho v ^ { 2 }$\\
(3) $\frac { 1 } { 2 } \rho v ^ { 2 }$\\
(4) $\rho v ^ { 2 }$