Question

How can we write energy using the MLT system?

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

(b) [M]^0[L]^2[T]^-1

(c) [M][L]^-3[T]^0

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

The question was posed to me in quiz.

This question is from Dimensional Homogenity topic in division Dimensional and Model Analysis of Fluid Mechanics

Answer 1

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

Easy explanation: Energy or work can be written dimensionally by [M][L]2[T]^2. 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]^2.