Physics · Fluid Mechanics
A fluid has a bulk modulus of elasticity K. If a small pressure increase ΔP causes a fractional volume decrease ΔV/V, which of the following statements is correct regarding compressibility and bulk modulus?
- 1A fluid with infinite bulk modulus is perfectly incompressible, as any finite pressure change results in zero volume change.✓
- 2Compressibility is the reciprocal of bulk modulus and represents the fluid's resistance to deformation under pressure.
- 3A high bulk modulus implies high compressibility, meaning the fluid volume changes significantly with pressure.
- 4Compressibility is defined as the ratio ΔP / (ΔV/V) and is numerically equal to the bulk modulus.
Correct answer
A fluid with infinite bulk modulus is perfectly incompressible, as any finite pressure change results in zero volume change.
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