Question

The pressure at the bottom of a tank of liquid is not proportional to:

• A. the acceleration
• B. the density of the liquid
• C. the area of the liquid surface
• D. the height of the liquid

Answer 1

The correct option is C the area of the liquid surface

Let the acceleration of tank be $a$ $($ moving up $),$

Let the density of the liquid be $d$ and height of liquid be $h,$

The pressure at the bottom of tank is $P=P_0+dh(g+a),$

Therefore the pressure depends on acceleration, height of the liquid and the density of liquid.

It does not depend on the area of the liquid surface,

Therefore correct option is $C.$