Match each physical quantity listed on the left with its corresponding expression in funda… — JAMB UTME

Match each physical quantity listed on the left with its corresponding expression in fundamental SI base units on the right.

Pressure $\text{kg}\cdot\text{m}^{-1}\cdot\text{s}^{-2}$
Surface Tension $\text{kg}\cdot\text{s}^{-2}$
Specific Heat Capacity $\text{m}^2\cdot\text{s}^{-2}\cdot\text{K}^{-1}$
Electric Capacitance $\text{kg}^{-1}\cdot\text{m}^{-2}\cdot\text{s}^4\cdot\text{A}^2$

Pressure matches with

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

, Surface Tension matches with

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

, Specific Heat Capacity matches with

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

, and Electric Capacitance matches with

\text{kg}^{-1}\cdot\text{m}^{-2}\cdot\text{s}^4\cdot\text{A}^2

Each quantity on the left is matched correctly to its fundamental SI base unit equivalent derived directly from its defining physical formula.

Derive base SI units for Pressure

P = \frac{F}{A} = \frac{\text{kg}\cdot\text{m}\cdot\text{s}^{-2}}{\text{m}^2} = \text{kg}\cdot\text{m}^{-1}\cdot\text{s}^{-2}

Pressure is force per unit area.

Derive base SI units for Surface Tension

\gamma = \frac{F}{L} = \frac{\text{kg}\cdot\text{m}\cdot\text{s}^{-2}}{\text{m}} = \text{kg}\cdot\text{s}^{-2}

Surface tension is force per unit length.

Derive base SI units for Specific Heat Capacity

c = \frac{Q}{m\Delta T} = \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}

Specific heat capacity is thermal energy per unit mass per kelvin.

Derive base SI units for Electric Capacitance

C = \frac{Q}{V} = \frac{\text{A}\cdot\text{s}}{\text{kg}\cdot\text{m}^2\cdot\text{s}^{-3}\cdot\text{A}^{-1}} = \text{kg}^{-1}\cdot\text{m}^{-2}\cdot\text{s}^4\cdot\text{A}^2

Capacitance is electric charge divided by electric potential difference.

Expressing derived SI units in terms of fundamental base SI units

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