A material has normal density `rho` and bulk modulus `K`. The increase in the density of the material when it is subjected to an external pressure `P` from all sides is

Options

A. `P//rhoK`
B. `K//rhoP`
C. `rhoP//K`
D. `rhoK//P`

Answer

C

Explanation

Final density
`=(m)/(V-DeltaV)=(m)/(V)(1-(DeltaV)/(V))^(-1)(m)/(V)(1+(DeltaV)/(V))=rho(1+(DeltaV)/(V))rArr"increase in density "rho.(DeltaV)/(V)`
But `k=(P)/(DeltaV//V)rArr(DeltaV)/(V)=(p)/(k)rArrDeltarho=(Prho)/(K)`.