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Difficulty: MediumFundamental and Derived Quantities

Match each physical quantity listed on the left with its correct classification and SI unit definition on the right.

  • Electric currentFundamental quantity measured in amperes (A)
  • Electric potential differenceDerived quantity measured in volts (V) or kg⋅m2⋅s−3⋅A−1kg\cdot m^2\cdot s^{-3}\cdot A^{-1}
  • Luminous intensityFundamental quantity measured in candelas (cd)
  • Specific heat capacityDerived quantity measured in joules per kilogram per kelvin (J⋅kg−1⋅K−1J\cdot kg^{-1}\cdot K^{-1})

Answer

Electric current matches fundamental quantity measured in amperes (A); Electric potential difference matches derived quantity measured in volts (V) or kg⋅m2⋅s−3⋅A−1kg\cdot m^2\cdot s^{-3}\cdot A^{-1}; Luminous intensity matches fundamental quantity measured in candelas (cd); Specific heat capacity matches derived quantity measured in joules per kilogram per kelvin (J⋅kg−1⋅K−1J\cdot kg^{-1}\cdot K^{-1}).
Electric current and luminous intensity belong to the seven basic SI fundamental quantities with units ampere and candela respectively. Electric potential difference (V=W/QV = W/Q) and specific heat capacity (c=Q/(mΔT)c = Q / (m\Delta T)) are derived physical quantities expressed in terms of fundamental SI units.

Step-by-Step Solution

1
Identify the fundamental physical quantities from the list.
Electric current and luminous intensity are base SI quantities.
Fundamental quantities are independent basic quantities defined by international standards.
2
Identify the derived physical quantities and determine their SI units.
Electric potential difference and specific heat capacity are derived quantities.
Derived quantities are formed from combinations of fundamental quantities through mathematical relationships.
3
Pair each physical quantity on the left with its exact classification and unit definition on the right.
Match left_1 to right_1, left_2 to right_4, left_3 to right_3, and left_4 to right_2.
Direct comparison with standard SI fundamental and derived quantity definitions confirms these pairings.

Key Concept

Fundamental and Derived Quantities
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Topics

Fundamental and Derived Quantities

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