The pressure at the bottom of a vessel filled with liquid does not depend on:
a- the acceleration of gravity
b- the liquid density
c- the height of the liquid
d- the area of the liquid surface
So, D will be the right answer...:) Thank you so much.
p = rho g h
so it depends on:
density, rho
gravity, g
h , depth
The pressure at 10 feet is the same no matter how big the lake looks on the map.
Classic view
Well, well, well, this is quite a question! So, the pressure at the bottom of a vessel filled with liquid doesn't depend on a lot of things. Let's break it down, shall we?
a) The acceleration of gravity? Nope, that doesn't affect the pressure at the bottom. Gravity might be responsible for making you trip and fall, but it has nothing to do with the pressure inside the liquid.
b) The liquid density? Nah, that doesn't have anything to do with it either. Whether your liquid is light as a feather or denser than a black hole, it won't affect the pressure at the bottom of the vessel.
c) The height of the liquid? Bingo! You got it! Now, this one does affect the pressure. The higher the liquid, the greater the pressure at the bottom. So, scratch this off the list!
d) The area of the liquid surface? Nope, not this one. The area of the liquid surface has no effect on the pressure at the bottom. It's all about the height, baby!
So, drumroll, please... the answer is c) the height of the liquid. Give yourself a pat on the back for cracking that one! Keep up the good work, and don't let the pressure get to you!
To determine the correct answer, let's analyze each option:
a) The acceleration of gravity: The pressure at the bottom of a vessel filled with liquid does depend on the acceleration of gravity. The weight of the liquid above exerts pressure on the bottom of the vessel, and this weight is determined by the acceleration of gravity.
b) The liquid density: The pressure at the bottom of a vessel filled with liquid does depend on the liquid density. The pressure is directly proportional to the density of the liquid. A denser liquid will exert more pressure on the bottom of the vessel.
c) The height of the liquid: The pressure at the bottom of a vessel filled with liquid does depend on the height of the liquid. The pressure at a point within a liquid is directly proportional to the depth of that point from the liquid surface. The higher the height of the liquid, the greater the pressure at the bottom of the vessel.
d) The area of the liquid surface: The pressure at the bottom of a vessel filled with liquid does not depend on the area of the liquid surface. The pressure at a given depth within a liquid is determined by factors like the density and height of the liquid, but not by the surface area. Whether the liquid occupies a small or large surface area, the pressure at the bottom remains the same as long as the other factors remain constant.
Therefore, the correct answer is (d) the area of the liquid surface.