Question

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

Options

• `(rhoP)/K`

• `(rhoK)/P`

• `K/(rhoP)`

• `(PK)/rho`

Answer 1

The normal density of a material is ρ and its bulk modulus of elasticity is K. The magnitude of the increase in density of the material, when a pressure P is applied uniformly on all sides, will be `underlinebb((rhoP)/K)`.

Explanation:

Bulk modulus (K) is given by K = `P/((-(DeltaV)/V))`

Density, `rho =  m/V`

So, `(Deltarho)/rho = (+DeltaV)/V`

∴ K = `P/(((Deltarho)/rho)` 

⇒ `(Deltarho)/rho  = P/K`

⇒ `Deltarho = (rhoP)/K`