Match each physical quantity on the left with its corresponding SI unit expressed in terms… — JAMB UTME

Match each physical quantity on the left with its corresponding SI unit expressed in terms of fundamental (base) units on the right.

Frequency matches

\text{s}^{-1}

, Electric charge matches

\text{A}\cdot\text{s}

, Mass density matches

\text{kg}\cdot\text{m}^{-3}

, and Acceleration matches

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

Frequency (

f = 1/T

) is expressed in reciprocal seconds (

\text{s}^{-1}

). Electric charge (

Q = I \cdot t

) is current times time, giving

\text{A}\cdot\text{s}

. Mass density (

\rho = m/V

) is mass per volume, giving

\text{kg}\cdot\text{m}^{-3}

. Acceleration (

a = \Delta v / \Delta t

) is rate of velocity change, giving

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

Identify the defining formula for each physical quantity

Frequency

f = \frac{1}{T}

, Charge

Q = I \cdot t

, Density

\rho = \frac{m}{V}

, Acceleration

a = \frac{\Delta v}{\Delta t}

Relating derived quantities to their defining equations allows reduction into fundamental quantities.

Substitute the SI base units for mass (

\text{kg}

), length (

\text{m}

), time (

\text{s}

), and current (

\text{A}

)

Frequency:

\text{s}^{-1}

; Charge:

\text{A}\cdot\text{s}

; Density:

\frac{\text{kg}}{\text{m}^3} = \text{kg}\cdot\text{m}^{-3}

; Acceleration:

\frac{\text{m/s}}{\text{s}} = \text{m}\cdot\text{s}^{-2}

This expresses each derived unit strictly in terms of fundamental SI units.

Match each physical quantity to its calculated base unit representation

Frequency

\rightarrow \text{s}^{-1}

, Electric charge

\rightarrow \text{A}\cdot\text{s}

, Mass density

\rightarrow \text{kg}\cdot\text{m}^{-3}

, Acceleration

\rightarrow \text{m}\cdot\text{s}^{-2}

Completes the pairing verification.

Expressing derived physical quantities in terms of SI fundamental (base) units

Estimated Time:45s

Question