Question

Which of the following is the dimension of Bulk Modulus?

• A. $\left[M^1{L}^{-1}{T}^{-1}\right]$
• B. $\left[M^1{L}^{-1}{T}^{-2}\right]$
• C. $\left[M^1{L}^1{T}^2\right]$
• D. $\left[M^1{L}^1{T}^{-1}\right]$

Answer 1

The correct option is B $\left[M^1{L}^{-1}{T}^{-2}\right]$

Bulk modulus is pressure/volumetric strain. The strain dosen't have any units and hence bulk's modulus takes the units of pressure. Thus, dimensions of bulk's modulus is $\left[B\right]=\left[ML{T}^{-2}\right]/\left[L^2\right]=\left[M{L}^{-1}{T}^{-2}\right]$
The correct option is (b)