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Home » Physics Homework Help » Quantum Physics » Pressure Variation
Pressure Variation
p2 = p1 + pgh where P1 is pressure at point A and P2 is pressure at point B.

Pascal’s law if the pressure at a point is changed, the change is transmitted to the entire liquid without being diminished in magnitude.

Hydraulic lift principles (a) Pascals law (b) liquids are incompressible

If A1 and A2 are the area of cross-sections in the U – tube on two sides as shown in the and F is the force applied on the side of cross-section A1 then weight lifted is

W = F A2 / A1

Barometer measures atmospheric pressure, forty’s barometer is most commonly used to measure atmospheric pressure. Manometers are used to measure partial pressure.

Archimedes’ principle when a body is weighed in a fluid it loses its weight. The weight lost is equal to the weight of the amount of liquid displaced. This is in accordance with Newton’s laws of motion. The buoyant force or up thrust is responsible to decrease the weight

Wright in the liquid = V (P – σ)g

Where V is volume displaced, P is density of the body and σ is density of fluid

Weight lost = Vσg

Specific gravity or relative density = density of body / density of water

In CGS system, density of a body = specific gravity (without unit)

If m1 and m2 are masses of densities P1 and P2 then the combined density is

P = m1 + m2 / m1 + m2 / p1 p2  = ∑ m1 / ∑m1 / p if m1 =  m2 then P  = 2P1 P2 /P1 + p2

If v1 is volume of density P1 and V2 is volume of density P2 then the combined density

P = P1 V1 + P2 V2 / V1 + V2 = ∑Pi Vi / ∑Vi

Variation of density with rise in temperature

P = P0 (1 - γ∆θ)

Where ∆θ is change in temperature and γ is volumetric coefficient of expansion.

Variation of density with volume/ bulk modulus

P = p0 V0 / V = P0 ( 1 + ∆P / B)

Floatation a body will float if the weight of the body mg ≤ up thrust or buoyant force

That is P body ≤ P liquid

If P body < P liquid if floats

If P body = P liquid  it just floats

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