Question

How can we write power using the MLT system?

(a) [M][L][T]^-2

(b) [M][L]^2[T]^3

(c) [M][L][T]

(d) [M][L][T]^3

This question was posed to me in my homework.

This intriguing question comes from Dimensional Homogenity in division Dimensional and Model Analysis of Fluid Mechanics

Answer 1

Right choice is (b) [M][L]^2[T]^3

For explanation: Power can be written dimensionally by [M][L]2[T]^3. This is by adopting the basic SI or MKS units. Where, [M] is the mass, [L] is the length and [T] is the time. Thus, the correct option is [M][L]^2[T]^3.