Question

Three containers are used in a chemistry lab. All containers have the same bottom area and the same height. A chemistry student fills each of the containers with the same liquid to the maximum volume. Which of the following is true about the pressure on the bottom in each container?

• A. $P_1=P_2=P_3$
• B. $P_1>P_2>P_3$
• C. $P_1<P_2=P_3$
• D. $P_1<P_2>P_3$

Answer 1

Answer: (A)

$P_1=P_2=P_3$

Pressure applied on the bottom is equal to the force applied on the bottom per unit area of bottom

$\Rightarrow P=\frac{F}{A}$

$\Rightarrow P=\frac{dvg}{A}$

Where $d$ is density , $v$ is volume and $A$ is area

Given that for three containers , area is same and height is same. so the volume of three containers is same .

The density is also same for three containers.

So $d,v,g,A$ are same for all three containers

Therefore their pressures are same

So option $A$ is correct