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Mechanical Engineering QUESTION #2409
Question 1
The bulk modulus of elasticity \(E\) of a fluid is defined as:
  • \(E = dp/(d\rho/\rho)\)
  • \(E = dp/(-dv/v)\) — ratio of pressure increase to fractional volume decrease
  • \(E = \rho c^2\) where \(c\) is sound speed
  • Both options B and C are correct expressions for \(E\)✔️
Correct Answer Explanation
Bulk modulus \(E=-dp/(dV/V)=\rho c^2\). Both definitions are equivalent. For water: \(E\approx2.1\) GPa.