Question

The pressure at the bottom of a tank containing a liquid does not depend on
A. Acceleration due to gravity
B. height of the liquid column
C. area of the bottom surface
D. nature of the liquid

Answer 1

Hint: We know that a body which is at rest in a fluid is acted upon by a force push upward known as buoyant force, which is equal to the weight of fluid that the body displaces. If the body gets completely submerged, the volume of fluid displaced is equal to the volume of the body. If the body is partially submerged, volume gets equal to that part which is submerged.

Complete step by step solution:
We know that the buoyancy force is caused by the pressure exerted by the fluid in which an object is immersed. Consider that the acceleration of the tank is moving up and the height of the liquid be h. Then the pressure of the bottom at the tank is,
$P={{P}_{o}}+h\rho g$
Hence we see from the above equation, the pressure depends upon the acceleration, height and the nature of the liquid. Hence the pressure at the bottom of the tank containing a liquid does not depend upon the area of the bottom surface.

Thus, option C is the correct answer.

Note: At various depths, a liquid has a variable pressure. As depth deepens, pressure rises. The weight of the water column above contributes to the pressure in a liquid. This pressure works in all directions because a liquid's particles are closely packed.