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Difficulty: MediumFundamental and Derived Quantities

Match each of the physical quantities given on the left with its corresponding fundamental SI status or base unit resolution on the right.

  • Luminous intensityFundamental quantity measured in candela (cd\text{cd})
  • Linear momentumDerived quantity expressed in kg⋅m⋅s−1\text{kg}\cdot\text{m}\cdot\text{s}^{-1}
  • Thermodynamic temperatureFundamental quantity measured in kelvin (K\text{K})
  • Specific heat capacityDerived quantity expressed in m2⋅s−2⋅K−1\text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1}

Answer

Luminous intensity matches with Fundamental quantity measured in candela (cd); Linear momentum matches with Derived quantity expressed in kg·m·s⁻¹; Thermodynamic temperature matches with Fundamental quantity measured in kelvin (K); Specific heat capacity matches with Derived quantity expressed in m²·s⁻²·K⁻¹.
Luminous intensity and thermodynamic temperature are fundamental physical quantities with SI units candela (cd\text{cd}) and kelvin (K\text{K}) respectively. Linear momentum (p=mvp = mv) and specific heat capacity (c=QmΔTc = \frac{Q}{m \Delta T}) are derived physical quantities whose fundamental SI base unit resolutions are kg⋅m⋅s−1\text{kg}\cdot\text{m}\cdot\text{s}^{-1} and m2⋅s−2⋅K−1\text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1} respectively.

Step-by-Step Solution

1
Identify fundamental physical quantities and their base SI units
Luminous intensity (measured in cd\text{cd}) and thermodynamic temperature (measured in K\text{K}) are base physical quantities that cannot be expressed in terms of other quantities.
The standard SI system establishes 7 base independent quantities.
2
Resolve derived quantities into fundamental SI base units
Linear momentum (p=mvp = mv) has units kg⋅m⋅s−1\text{kg}\cdot\text{m}\cdot\text{s}^{-1}. Specific heat capacity (c=QmΔTc = \frac{Q}{m\Delta T}) has units kg⋅m2⋅s−2kg⋅K=m2⋅s−2⋅K−1\frac{\text{kg}\cdot\text{m}^2\cdot\text{s}^{-2}}{\text{kg}\cdot\text{K}} = \text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1}.
Derived physical quantities are formed by combining fundamental quantities algebraically according to physical laws.
3
Match each physical quantity to its correct description
Luminous intensity →\rightarrow candela (cd\text{cd}); Linear momentum →\rightarrow kg⋅m⋅s−1\text{kg}\cdot\text{m}\cdot\text{s}^{-1}; Thermodynamic temperature →\rightarrow kelvin (K\text{K}); Specific heat capacity →\rightarrow m2⋅s−2⋅K−1\text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1}.
Each pair directly aligns the physical quantity with its base classification and unit derivation.

Key Concept

Classification of fundamental and derived physical quantities and their resolution into SI base units
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Topics

Fundamental and Derived Quantities

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