Question

Given four containers with four different mouth areas as follows: container A 1.00 cm^2, container B 2.00 cm^2, container C 3.00 cm^2 and container D 4.00 cm^2. Each container is filled with water to the same level. In which container would the pressure be the greatest at a depth of 1.00 cm? A)container A B)container B C)container C D)container DE) none of these

Answer 1

Take into account that pressure at a depth h due to the weight of a fluid in a recipient is given by the following formula:

`P=\rho gh`

where ρ is the density of water, g is the gravitational acceleration constant and h os the depth at which we are interested in calculating the pressure.

As you can notice, the pressure does not depend of the area of the mouth of the container. The pressure depends on density and depth. Then, for containers with different motuh areas but the same depth, the pressure will be the same.

Hence, the answer is:

E) none of these