Question

Choose the wrong statement among the following

• A. The pressure at a point in a fluid is directly proportional to the depth of the point from the surface
• B. The pressure at a point is independent of acceleration due to gravity
• C. The pressure at a point is directly proportional to the area of cross section
• D. The pressure at a point is proportional to the density of the fluid

Answer 1

Answer: (A), (B), (D)

The pressure at a point in a fluid is directly proportional to the depth of the point from the surface
The pressure at a point is independent of acceleration due to gravity
The pressure at a point is proportional to the density of the fluid

Pressure is written as $\rho gh$, where h is the depth from the surface .

Pressure is due to weight of object or force and that is due to the acceleration due to gravity.

Pressure at a point is $P=\rho gh$

Thus pressure is independent of area of cross-section but depends on density of fluid.