Concept:Liquid pressure is the force exerted per unit area by a liquid, and it changes with depth, density, and gravitational acceleration.
Explanation:The pressure
P inside a liquid is given by
P=hρg, where
h is the depth,
ρ is the liquid density, and
g is the acceleration due to gravity.
At greater depths, the weight of the liquid above that point becomes larger, so the pressure increases.
Consider option A: "the pressure in a liquid increases with depth."
From the formula, as
h increases,
P also increases, so this statement is correct.
Option B is wrong because a higher density liquid exerts a greater pressure, not a lower one, since
P∝ρ.
Option C is limited because pressure in a liquid acts in all directions at a point, and it pushes perpendicularly against any surface, not only the sides of the vessel.
Option D is wrong because
g appears in the formula, so pressure definitely depends on acceleration due to gravity.
Therefore, the only true statement about liquid pressure is that it increases with depth.
Answer:A. the pressure in a liquid increases with depth