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Zorluk: OrtaFundamental and Derived Quantities

Match each physical quantity to its correct physical quantity classification and corresponding SI base unit expression.

  • Luminous intensityFundamental quantity expressed in base SI unit cd\text{cd}
  • Electric potentialDerived quantity expressed in base SI units kg⋅m2⋅s−3⋅A−1\text{kg}\cdot\text{m}^2\cdot\text{s}^{-3}\cdot\text{A}^{-1}
  • Specific heat capacityDerived quantity expressed in base SI units m2⋅s−2⋅K−1\text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1}
  • Thermodynamic temperatureFundamental quantity expressed in base SI unit K\text{K}

Cevap

Luminous intensity matches with fundamental quantity in cd\text{cd}; Electric potential matches with derived quantity in kg⋅m2⋅s−3⋅A−1\text{kg}\cdot\text{m}^2\cdot\text{s}^{-3}\cdot\text{A}^{-1}; Specific heat capacity matches with derived quantity in m2⋅s−2⋅K−1\text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1}; Thermodynamic temperature matches with fundamental quantity in K\text{K}.
Luminous intensity and thermodynamic temperature are fundamental SI quantities with base units cd and K. Electric potential and specific heat capacity are derived quantities whose definitions reduce to kg⋅m2⋅s−3⋅A−1\text{kg}\cdot\text{m}^2\cdot\text{s}^{-3}\cdot\text{A}^{-1} and m2⋅s−2⋅K−1\text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1} respectively.

Adım Adım Çözüm

1
Identify fundamental physical quantities
Luminous intensity and thermodynamic temperature are base SI quantities measured in candela (cd) and kelvin (K) respectively.
Base quantities cannot be defined in terms of other physical quantities.
2
Decompose derived quantities into base SI units
Electric potential V=WqV = \frac{W}{q} yields kg⋅m2⋅s−3⋅A−1\text{kg}\cdot\text{m}^2\cdot\text{s}^{-3}\cdot\text{A}^{-1}. Specific heat capacity c=QmΔTc = \frac{Q}{m\Delta T} yields m2⋅s−2⋅K−1\text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1}.
Derived quantities originate from mathematical combinations of fundamental quantities.

Anahtar Kavram

Classification of physical quantities into fundamental (base) and derived categories and resolution into SI base units
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Konular

Fundamental and Derived Quantities

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