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Physical Quantities & Measurements

How to find the density of solids and liquids, what relative density means, and why some objects float while others sink.

What this chapter covers

  1. Density

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    • Concept and UnitsMass per unit volume; kg/m³.
    • Density of a Regular SolidMass from balance, volume from dimensions.
    • Vessels for Measuring VolumeMeasuring cylinders and measuring beakers.
    • Density of an Irregular SolidVolume found by water displacement.
    • Density of a LiquidMass of known liquid volume.
  2. Density Bottle

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    • Construction and PrincipleNarrow-necked bottle with holed stopper.
    • Density of a Liquid Using Density BottleThree weighings give liquid's density.
  3. Relative Density

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    • Concept and UnitsRatio to water's density; no unit.
    • Measurement of Relative DensitySame three density-bottle readings used.
  4. Density in Different States

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    • States ComparisonSolids generally densest, gases least dense.
    • Density DataCork 0.25 to mercury 13.6 g/cm³.
  5. Floating and Sinking

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    • Floating and SinkingLess dense than liquid floats.
    • Principle of FloatationWeight versus buoyant force decides.
    • Law of FloatationFloating body displaces its own weight.
  6. Applications of Floatation

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    • Iron ShipHollow volume lowers average density.
    • SubmarineFilling, emptying tanks sinks or raises.
    • Floatation of ManEasier to swim in sea water.
    • IcebergsIce floats about nine-tenths submerged.
    • FishesSwim bladder changes average density.
    • BalloonsHydrogen or helium makes them rise.

Try a sample question

Which of the following best describes the unit of relative density?

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