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

No , the pressure will be same (at the same depth) for both the containers (irrespective of the area of the mouth i.e. narrow or broad)

Explanation for such reason:

The general expression of pressure exerted by a fluid column at a depth "h" from the fluid surface is given as follows:

$\boxed{ \bold{ \large{P = \rho \times g \times h}}}$

• Here , $\rho$ is the density of the fluid , "g" is the gravitational acceleration and "h" is the depth.

• From this expression , we can clearly understand that if the density and the gravitational acceleration is kept constant, the pressure exerted will only depend upon the depth.

• This expression does not include any term regarding that type of container used (i.e. narrow or broad).

$\boxed{ \bold{ Pressure \: will \: be \: same \: for \: both \: containers \: at \: same \: depth}}$