A water tank has a small hole in its wall and a tapering nozzle has been fitted into the hole (figure). The diameter of the nozzle at the exit is `d_(0)=1cm`. The height of water in the tank above the central line of the nozzle is h=2.0m.
Calculate the dischargerate in `m^(3)s^(-1)` through the nozzle. Another nozzle which is diverging outwards is fitted smoothly to the first nozzle. The pressure at the neck of the two nozzle (where diameter is `d_(0)`) drops ot 2.5m of water. Calculate the exit diameter (d) of the nozzle.
Atmosphere pressure =10m of water and `g=10ms^(-2)`

Answer

(a) `4.96xx10^(-4)m^(3)s^(-1)`
(b) 1.48cm