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The normal density of a material is ρ and its bulk modulus of elasticity is K. The magnitude of increase in density of material, when a pressure P is applied uniformly on all sides, will be:

1. ρK/P
2. ρP/K
3. K/(ρP)
4. PK/ρ

Correct answer: ρP/K

Solution

Bulk modulus K = -V dP/dV = rho dP/drho. For an applied pressure P this gives the density increase d(rho) = rho*P/K.

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