Fundamental Quantities and Their Units

In physics, there are several fundamental quantities that we measure. For each of these quantities, there is a standard unit used universally.

1. Length (or Distance)

  • Definition: The measure of how far apart two points are in space.
  • SI Unit: Meter (m)
  • Common Prefixes:
    • Kilometer (km) = 103 m10^3 \, \text{m}103m
    • Centimeter (cm) = 10−2 m10^{-2} \, \text{m}10−2m
    • Millimeter (mm) = 10−3 m10^{-3} \, \text{m}10−3m

2. Mass

  • Definition: A measure of the amount of matter in an object. It is often confused with weight, but mass does not change with location (unlike weight, which depends on gravity).
  • SI Unit: Kilogram (kg)
  • Other Units:
    • Gram (g) = 10−3 kg10^{-3} \, \text{kg}10−3kg
    • Milligram (mg) = 10−6 kg10^{-6} \, \text{kg}10−6kg

3. Time

  • Definition: The measure of the duration of an event or the interval between two events.
  • SI Unit: Second (s)
  • Common Prefixes:
    • Minute (min) = 60 seconds
    • Hour (h) = 60 minutes = 3600 seconds

4. Temperature

  • Definition: A measure of the average kinetic energy of particles in a substance, which determines how hot or cold the substance is.
  • SI Unit: Kelvin (K)
  • Other Units:
    • Celsius (°C): Commonly used in everyday life (related to Kelvin by T(K)=T(°C)+273.15T(K) = T(°C) + 273.15T(K)=T(°C)+273.15).
    • Fahrenheit (°F): Mainly used in the United States.

5. Electric Current

  • Definition: The flow of electric charge (usually electrons).
  • SI Unit: Ampere (A), often shortened to Amp
  • Other Units: Coulomb per second (C/s)

6. Amount of Substance (or Quantity of Matter)

  • Definition: The measure of the number of entities (atoms, molecules, ions) in a substance.
  • SI Unit: Mole (mol)
  • Note: One mole of any substance contains Avogadro’s number (6.022×10236.022 \times 10^{23}6.022×1023) of entities.

7. Luminous Intensity

  • Definition: The measure of the perceived power of light.
  • SI Unit: Candela (cd)

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