The pressure of a fluid varies with depth h as P = P0+pgh, where p is the fluid density. This expression is associated with

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Q: 40 (CDS-I/2018)
The pressure of a fluid varies with depth h as P = P0+pgh, where p is the fluid density. This expression is associated with

question_subject: 

Science

question_exam: 

CDS-I

stats: 

0,13,22,13,2,13,7

keywords: 

{'fluid density': [0, 0, 0, 1], 'pressure': [0, 0, 0, 1], 'fluid varies': [0, 0, 0, 1], 'bernoulli': [0, 0, 0, 2], 'newton': [0, 1, 0, 0], 'principle': [0, 0, 0, 1], 'archimedes': [0, 0, 0, 1]}

The provided expression, P = P0 + pgh, represents the variation of pressure with depth in a fluid. Here P is the pressure at a certain depth, P0 is the pressure at the surface of the fluid, p is the fluid density, g is the acceleration due to gravity, and h is the depth measured from the surface downwards.

Option 1: This expression is associated with Pascal`s law. Pascal`s law states that when pressure is applied to a fluid in a closed system, it gets transmitted uniformly throughout the fluid in all directions. In the provided expression, the pressure at any depth is given by P0 + pgh, which is consistent with Pascal`s law.

Option 2: Newton`s law is not directly related to the given expression. Newton`s laws of motion deal with the relationship between an object`s motion and the forces acting upon it.

Option 3: The given expression does not represent Bernoulli`s principle. Bernoulli`s principle describes the relationship between the pressure, velocity, and elevation in a flowing fluid.

Option 4: Likewise, the given expression does not correspond to Archimedes` principle. Archimedes` principle relates to the buoyant force experienced by an object immersed in a fluid.

Therefore, the correct answer