check the correctness of the equations P=pgh, p=pressure,p=density,g= gravity, h=height using dimensions
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Answer:
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Explanation:
P = ML-1T-2 ; p = ML-3 ; g = LT-3 ; h = L
LHS = ML-1T-2
RHS = L * LT-2 * ML-3
= ML-1T-2 = LHS
HENCE PROVED
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The hydrostatic pressure given by P = ρgh is correct.
- Hydrostatic pressure may be defined as the pressure exerted by a liquid at rest with respect to adjacent bodies.
- Hydrostatic pressure is the force exerted by resting water. It is the constant force that the water exerts on the basement walls.
- A common example of hydrostatic pressure is the pressure exerted by the blood on the walls of the blood vessels.
- The hydrostatic pressure is denoted by the 'P' of a liquid column depending on the density of the liquid 'ρ', height of the water column 'h', and acceleration due to gravity 'g'.
- Therefore the given equation P = ρgh is given correctly and also the parameters are also correct.
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