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Chemical Engineering Basics - Engineering

Q1:

The dimensional formula of bulk modulus of elasticity is same as that of the

A pressure

B density

C force

D none of these

ANS:A - pressure

The dimensional formula of bulk modulus of elasticity is the same as that of pressure. The bulk modulus of elasticity (K) is a measure of a substance's resistance to volumetric compression. It quantifies the ratio of the change in pressure to the fractional change in volume. Mathematically, it is expressed as: K=VΔV​−ΔP​ Where:

  • ΔP is the change in pressure,
  • ΔV​ is the fractional change in volume.
Since pressure (P) has the dimensional formula of[ML−1T−2], and the fractional change in volume is dimensionless, the dimensional formula of bulk modulus (K) is also [ML−1T−2], which is the same as that of pressure. Therefore, the correct option is: pressure