Relationship between Pressure and Depth
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Which graph shows the relationship between the pressure exerted by the water and the depth? (Density of water is constant.)
This question includes visual content: The image shows multiple-choice options represented by graphs with 'pressure' on the horizontal axis and 'depth' on the vertical axis. The graphs display different relationships between the two variables: (A) shows a curved line increasing as depth increases, (B) shows a curved line bending downwards, (C) is partially visible and shows a linear relationship, and (D) shows a linear increase.
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Hi Hoorain, let's solve this physics question together. We need to identify the correct graph representing the relationship between pressure and depth in a swimming pool.
Hydrostatic Pressure
The pressure at any depth in a fluid is given by the formula P equals P-zero plus rho g h, where P-zero is atmospheric pressure, rho is density, g is gravity, and h is depth.
Since density, gravity, and atmospheric pressure are constants, this equation is in the form of a linear function, y equals mx plus c, where P is the y-variable and h is the x-variable.
This is a linear relationship: P(h) = (\rho g)h + P_{0}
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