Question

Force can be written as______

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

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

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

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

The question was asked in exam.

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

Answer 1

The correct option is (a) [M][L][T]^-2

To explain I would say: Force can be written dimensionally by [F]= [M][L][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][T]^-2.