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Difficulty: MediumFundamental and Derived Quantities

A student investigating the physical properties of a uniform metallic rod records its mass, length, thermodynamic temperature, and mass density. Which of the recorded physical quantities is classified as a derived quantity?

  1. Mass densityAnswer
  2. B
    Mass
  3. C
    Length
  4. D
    Thermodynamic temperature

Answer

Mass density is the derived physical quantity.
Mass density is defined as mass per unit volume (ρ=mV \rho = \frac{m}{V} ). Because it is obtained by combining the fundamental quantities of mass and length, it is a derived physical quantity.

Step-by-Step Solution

1
Identify the seven fundamental SI physical quantities
The seven base quantities are length, mass, time, electric current, thermodynamic temperature, luminous intensity, and amount of substance.
Fundamental quantities are independent physical quantities that cannot be defined in terms of other physical quantities.
2
Classify each physical quantity given in the scenario
Mass, length, and thermodynamic temperature are fundamental quantities. Mass density is defined as mass divided by volume (ρ=mV \rho = \frac{m}{V} ).
Derived quantities are physical quantities obtained by mathematical combinations of fundamental quantities.

Key Concept

Classification of Fundamental and Derived Quantities
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Topics

Fundamental and Derived Quantities

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