Question

Q.13) If fluid is at rest in a container of
a narrow mouth at a certain column
height and same fluid is at rest at
same column height in a container
having broad mouth , will the
pressure be different at certain dept
from fluid surface ? *​

Answer 1

Answer:

The velocity with which the liquid comes out is v

0

=

2gh

.

Let cross-sectional area of the hole be A. Then the force exerted by the ejecting fluid due to change in momentum on the container is F=ρAv

2

F=ρAv

2

=ma, where m is the mass of the liquid inside the container.

ρAv

2

=ρAh×a

⇒a=2g

Differentiating the above equation, we can have v=2gt where t is the time in which the liquid comes out completely which is dependent on h.