First slide

Dimensions of physical quantities

Question

Find the dimensional formula of Power.

Moderate

A

$[M L^{2} T^{1}]$
B

$[M L^{2} T^{- 2}]$
C

$[M L^{2} T^{- 3}]$
D

Dimensionless

Solution

$Power = \frac{W o r k}{T i m e} [Power] = \frac{[Work]}{[Time]} = \frac{[{ML}^{2} T^{- 2}]}{[T]} = [{ML}^{2} T^{- 3}]$

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