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Zorluk: OrtaFundamental and Derived Quantities

Match each physical quantity listed on the left with its corresponding SI classification and base unit representation on the right.

  • Electric currentFundamental quantity measured in amperes (A\text{A})
  • Thermodynamic temperatureFundamental quantity measured in kelvins (K\text{K})
  • Electric potential differenceDerived quantity expressed in SI base units as 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 SI base units as m2⋅s−2⋅K−1\text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1}

Cevap

Electric current matches Fundamental quantity measured in amperes; Thermodynamic temperature matches Fundamental quantity measured in kelvins; Electric potential difference matches Derived quantity expressed as kg·m²·s⁻³·A⁻¹; Specific heat capacity matches Derived quantity expressed as m²·s⁻²·K⁻¹.
Electric current and thermodynamic temperature are basic SI fundamental quantities. Electric potential difference and specific heat capacity are derived quantities whose fundamental unit decompositions follow directly from their governing formulas.

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1
Identify fundamental physical quantities and their base units
Electric current and thermodynamic temperature are fundamental SI quantities with base units ampere (A\text{A}) and kelvin (K\text{K}) respectively.
Fundamental physical quantities are defined independently and serve as the foundation for the SI system.
2
Decompose electric potential difference into SI base units
Electric potential difference V=WorkCharge=kg⋅m2⋅s−2A⋅s=kg⋅m2⋅s−3⋅A−1V = \frac{\text{Work}}{\text{Charge}} = \frac{\text{kg}\cdot\text{m}^2\cdot\text{s}^{-2}}{\text{A}\cdot\text{s}} = \text{kg}\cdot\text{m}^2\cdot\text{s}^{-3}\cdot\text{A}^{-1}.
Because it is expressed by combining fundamental quantities, it is a derived quantity.
3
Decompose specific heat capacity into SI base units
Specific heat capacity c=EnergyMass×Temperature change=kg⋅m2⋅s−2kg⋅K=m2⋅s−2⋅K−1c = \frac{\text{Energy}}{\text{Mass} \times \text{Temperature change}} = \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}.
It is calculated from energy, mass, and temperature, making it a derived quantity.

Anahtar Kavram

Fundamental quantities are independent basic quantities, whereas derived quantities are formed through algebraic combination of fundamental quantities.
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Fundamental and Derived Quantities

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