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EEJ MAIN Physics QUESTION #7087
Question 1
A material has density $\rho$ and bulk modulus $K$. What is the increase in density when a uniform pressure $P$ is applied?
  • $\frac{\rho P}{K}$✔️
  • $\frac{\rho K}{P}$
  • $\frac{K}{\rho P}$
  • $\frac{PK}{\rho}$
Correct Answer Explanation

Bulk modulus $K = \rho \frac{dP}{d\rho}$.

  • Rearranging for change in density $d\rho$: $d\rho = \frac{\rho dP}{K}$
  • Given $dP = P$, the increase is $\frac{\rho P}{K}$.