Question

Two identical beakers are both equally filled with a liquid. Beaker A contains water. Beaker B contains a liquid that is denser than water. Which statement is true? A. The air pressure on the beaker containing dense liquid is greater. B. The weight of both liquids is the same. C. The area at the bottom of both beakers is the same. D. The pressure at the bottom of both beakers is the same.

Answer 1

Correct answer is C: the two beakers are identical, so the area at the bottom of the two liquids is the same.

Step-by-step explanation:

Answer 2

Correct answer is C: the two beakers are identical, so the area at the bottom of the two liquids is the same.

The other statements, instead, are false.
Statement A is false because the air pressure on top of the two liquids is the same (it is equal to the atmospheric pressure).
Statement B is false because the weight of liquid B is greater than the weight of liquid A, because liquid B is more dense, and the weight is equal to

`mg= \rho V g`
where
`\rho` is the liquid density and V the volume. Since the volume of the two liquids is the same, the weight of liquid B is greater than the weight of liquid A.
Statement D is false because the pressure at the bottom of beaker B is greater. In fact, the pressure of a column of liquid is

`p= \rho g h`
where
`\rho` is the density and h is the height of the column of liquid: since the height of the two liquids is the same, but the density of liquid B is greater than the density of liquid A, then its pressure at the bottom is also greater.