Question

The formula to calculate liquid pressure is

• A. P=mgh
• B. P=wgh
• C. P=ρgh
• D. P=Fgh

Answer 1

The Correct Option is C

To solve the given problem, we need to identify the correct formula for calculating liquid pressure from the list of options. Let's examine each option:

1. P = mgh
   Here, P denotes pressure, m is mass, g is acceleration due to gravity, and h is height. This formula is incorrect for liquid pressure, as it resembles the potential energy formula rather than pressure.
2. P = wgh
   In this formula, w typically refers to weight. Although weight is related to mass by the equation w = mg, this formulation does not correctly represent the pressure equation for liquids.
3. P = ρgh
   This is the correct formula. Here, P represents the pressure exerted by a liquid, ρ (rho) is the density of the liquid, g is the acceleration due to gravity, and h is the height of the liquid column. This formula accurately represents the pressure exerted by a static column of liquid.
4. P = Fgh
   This formulation lacks specific contextual meaning tied to liquid pressure calculations. F typically denotes force, which is not independently used with gh for calculating liquid pressure.

From the analysis above, the correct formula to calculate the pressure exerted by a liquid at a certain depth is P = ρgh.

Hence, the correct answer is: P = ρgh.