Question

If the system is not in free fall, which of the following statements are true about hydrostatic pressure.
A) In a liquid, point at different depth can never be at the same pressure
B) In a liquid, point at different depth may be at the same pressure
C) In different liquids, points at different depth can be at the same pressure
D) In different liquids, points at the same depths can never be at the same pressure.

Answer 1

Hint: Pressure of liquids is given by the equation $ p = \rho hg $ , where $ \rho $ is the density of the liquid, $ h $ is the depth where the pressure is measured and $ g $ is the acceleration due to gravity.

Complete Step By Step Answer:
Options A (In a liquid, point at different depth can never be at the same pressure),
Option C (In different liquids, points at different depth can be at the same pressure),
Option D (In different liquids, points at the same depths can never be at the same pressure) are correct options.
Pressure of a liquid is given by $ \rho gh $ .
In the same liquid as depth changes the value of $ h $ changes so the pressure will change accordingly.
For different liquids the value of $ \rho $ is different, so it is possible to have the same pressure at different depths for different liquids.
For different liquids as the density is different it is not possible to have the same pressure at the same depth.
Option (A), (C) and (D) are correct.

Note:
Hydrostatic pressure is the pressure exerted by or existing within a liquid at rest with respect to adjacent bodies. The pressure at a point within a fluid arising due to the weight of the fluid is known as fluid pressure.