Properties of Matter Part 1

Given, density of material =ρ
Bulk modulus of elasticity =K
and applied pressure =p
Let change in volume and density be ∆V and ∆ρ respectively and initial volume and density be V and ρ.
Since, K=‌

p

−‌ ∆V V

. . . (i)
and density (ρ)=‌

mass(m)

‌ volume ‌(V)

∴‌‌‌

∆ρ

ρ

=−‌

∆V

V

Substituting it in Eq. (i), we get
‌

−∆V

V

=‌

p

K

=‌

∆ρ

ρ

∴‌‌∆ρ=‌

pρ

K