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JAMB Physics 2024 Paper

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Question : 124

Total: 125

The dimension of power is

ML $^{2}$ T $^{-3}$
ML $^{1}$ T $^{2}$
ML $^{2}$ T $^{-2}$
MLT $^{2}$

Solution:

Concept:

Power is the rate at which work is done.

Explanation:

Work done

W

is force times displacement.

Force

F = ma

, so its dimension is

MLT^{-2}

.

Displacement has dimension

L

, so work has dimension:

MLT^{-2} \times L = ML^{2}T^{-2}

.

Power

P = \frac{W}{t}

, and time has dimension

T

.

Therefore, dimension of power is:

\frac{ML^{2}T^{-2}}{T} = ML^{2}T^{-3}

.

Answer:

A.

ML^{2}T^{-3}

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