Water is flowing streamline motion through a horizontal tube. The pressure at a point in a tube is P where the velocity of flow is v. At another point where the pressure is`p/2`, the velocity of flow is (density of water = `rho`)

Options

A. `sqrt(v^2 + p/rho)`
B. `sqrt(v^2 - p/rho)`
C. `sqrt(v^2 + (2p)/(rho))`
D. `sqrt(v^2 - (2p)/(rho))`

Answer

A

Explanation

`sqrt(v^2 + p/rho)`