Question

The pressure at the bottom of a tank containing liquid does not depend upon the

• A. area of bottom surface.
• B. acceleration due to gravity.
• C. density of liquid.
• D. height of liquid column.

Hint:

In fluids, pressure depends on the height of the liquid column, the density of the liquid, and the acceleration due to gravity, but not on the area of the surface.

Answer 1

The Correct Option is A

Step 1: Understanding the pressure in a liquid.
The pressure at a depth in a liquid is given by the equation: \[ P = \rho g h \] where \( \rho \) is the density of the liquid, \( g \) is the acceleration due to gravity, and \( h \) is the height of the liquid column. The pressure depends only on the density of the liquid, the height of the liquid column, and gravity.
Step 2: Conclusion.
Thus, the pressure at the bottom of a tank does not depend on the area of the bottom surface, corresponding to option (A).