A vertical water jet flows out of a round hole. One of the horizontal sections of the jet has a diameter `d=2.0mm` while the other section located `l=20cm` lower has the diameter which is `n=1.5` times less. The volume of the water flowing from the hole each second is found to be `9xx10^(-n)(cm^(3))/(s)`. What is the value of n? (surface tension `T=0.073(N)/(m)` and density of water `=10^(3)(kg)/(m^(3))`.

Answer

1

Explanation

Pressure at point A and B are
`P_(A)=P_(0)+(2T)/(d)` and `P_(B)=P_(0)+(2T)/((d)/(n))`
From continuity equation at point A and B.
`V_(1)d^(2)=V_(2)(d^(2))/(n^(2))impliesV_(2)=V_(1)n^(2)`
Applying Bernoulli's equation at point A and B. Hence `n=1`.