Question

Define compressibility. State its unit and dimensions.

Answer 1

1. The reciprocal of bulk modulus of elasticity is called compressibility of the material.

2. Compressibility is the fractional decrease in volume, (-dV/V) per unit increase in pressure.

Compressibility = \(\frac{-dV}{VdP}\)

3. Unit: m²/N or Pa- in SI system.

4. Dimensions: [L¹M^-1T²]