Question

How can we write specific mass using the MLT system?

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

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

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

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

This question was posed to me in an online interview.

Enquiry is from Dimensional Homogenity topic in section Dimensional and Model Analysis of Fluid Mechanics

Answer 1

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

Easy explanation: Specific mass can be written dimensionally by [M][L]-3[T]^0. 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]^-3[T]^0.