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Density and Relative Density

CSEC Physics Syllabus - Effective for examinations from May - June 2015
Section A - Mechanics
Scientific Method
Specific Objective 1.10
apply the formula for density: ρ = m/V ;

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Density

Definition 
  1. Density is the mass per unit volume of an object.
  2. It is the mass in a given volume of an object.
Symbol        ρ (rho)
Formula       :  Density = Mass ÷ Volume 
S.I. Unit      : kilogram per metre cube - kg/m3
Other Unit    : gram per centimetre cube - g/cm3

Table 1 showing the densities of some useful substances.
Substance
Density in gcm-3
Density in kgm-3
Helium
0.00017
0.17
Air
0.0012
1.2
Gasoline
0.8
800
Pure Water
1.0
1 000
Aluminum
2.7
2 700
Steel
7.92
7 920
Copper
8.9
8 900
Glass
2.5
2 500
Soft Wood
0.5-0.6
500-600
Gold
19.3
19 300



Example 1



Example 2



Relative Density

Relative Density is a ratio of two densities; in most cases the density of a material or substance compared to the density of water. 

Relative Density measures how many times a substance is more dense than water. It is a dimensionless quantity, which means it has no units.  

Formula : Relative Density = Density of Substance ÷ Density of Water 

Note:
If Relative Density ≥  1  : the substance/material will sink 
If 0 < Relative Density < 1  : the substance/material will float 


Example 3


Example 4


Example 5



Empowerment Through Practice!

Test your knowledge and Attempt Quiz 4


Quiz 4 - Density and Relative Density


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