Question

The dimensions of energy per unit volumes are the same as those of :

• A. Work
• B. Stress
• C. Pressure
• D. Modulus

Answer 1

Answer: (C)

Pressure

The dimension of energy per unit volume is equal to the dimension of pressure.

Firstly, the dimension of energy is : $\left[M{L}^2{T}^{-2}\right]$

The dimension of volume: $\left[L^3\right]$

The dimension of pressure : $\left[L^{-1}M{T}^{-2}\right]$

Now, $\frac{energy}{volume}=\frac{\left[M{L}^2{T}^{-2}\right]}{\left[L^3\right]}=\left[L^{-1}M{T}^{-2}\right]$