Question

Which of the following is the dimension of compressibility?

(a) [M^1L^1T^-2].

(b) [M^1L^1T^-1].

(c) [M^-1L^1T^-2].

(d) [M^-1L^1T^2].

This question was posed to me at a job interview.

Question is taken from Compressibility and Bulk Modulus in section Properties of Fluids of Fluid Mechanics

Answer 1

The correct option is (d) [M^-1L^1T^2].

Easy explanation: k = 1/β, where k = Bulk Modulus of elasticity and β= compressibility.

and [β] = [1/k] = [M^-1L^1T^2].