Match each physical quantity listed on the left with its correct SI classification or fund… — JAMB UTME

Match each physical quantity listed on the left with its correct SI classification or fundamental unit decomposition on the right.

Electric currentFundamental quantity measured in amperes ( $\text{A}$ )
PressureDerived quantity with base SI units $\text{kg}\cdot\text{m}^{-1}\cdot\text{s}^{-2}$
Thermodynamic temperatureFundamental quantity measured in kelvin ( $\text{K}$ )
ImpulseDerived quantity with base SI units $\text{kg}\cdot\text{m}\cdot\text{s}^{-1}$

Electric current corresponds to the fundamental quantity measured in amperes (

\text{A}

); Pressure corresponds to the derived quantity with base SI units

\text{kg}\cdot\text{m}^{-1}\cdot\text{s}^{-2}

; Thermodynamic temperature corresponds to the fundamental quantity measured in kelvin (

\text{K}

); Impulse corresponds to the derived quantity with base SI units

\text{kg}\cdot\text{m}\cdot\text{s}^{-1}

Electric current and thermodynamic temperature are fundamental SI quantities defined independently with units ampere (

\text{A}

) and kelvin (

\text{K}

). Pressure and impulse are derived quantities whose definitions rely on fundamental quantities, breaking down into

\text{kg}\cdot\text{m}^{-1}\cdot\text{s}^{-2}

and

\text{kg}\cdot\text{m}\cdot\text{s}^{-1}

respectively.

Identify fundamental physical quantities

Electric current and thermodynamic temperature are fundamental quantities with SI base units ampere (

\text{A}

) and kelvin (

\text{K}

) respectively.

Fundamental quantities are basic physical quantities that do not depend on any other physical quantity for their definition.

Decompose pressure into base SI units

\text{Pressure} = \frac{\text{Force}}{\text{Area}} = \frac{\text{kg}\cdot\text{m}\cdot\text{s}^{-2}}{\text{m}^2} = \text{kg}\cdot\text{m}^{-1}\cdot\text{s}^{-2}

Derived quantities must be reduced to combinations of mass (

\text{kg}

), length (

\text{m}

), and time (

\text{s}

Decompose impulse into base SI units

\text{Impulse} = \text{Force} \times \text{Time} = (\text{kg}\cdot\text{m}\cdot\text{s}^{-2}) \times \text{s} = \text{kg}\cdot\text{m}\cdot\text{s}^{-1}

Impulse is defined as change in momentum or force applied over a time interval.

Classification of fundamental quantities versus derived quantities and resolution of derived units into fundamental SI units.

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