JEE Main202126 Feb 2021Morning ShiftPhysicsMechanical Properties of SolidsActual
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 :
Options
- AP K ρ
- Bρ P K
- Cρ K P
- DK ρ P
Correct answer
B. ρ P K
Step-by-step solution
ρ = M V d ρ ρ = - d V V k = - P d V V - d V V = P k d ρ ρ = P k ⇒ d ρ = ρ P k