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

Explanation

`K = (P)/((dV)/(V)) rArr (dV)/(V) = (P)/(K)` and `rho = (M)/(V)`
`rho + Delta rho = (M)/(-Delta V) rArr rho = (M)/(V-Delta V) - (M)/(V)`
`Delta rho = (M)/(V) [(1)/(1-(DeltaV)/(V))-1] rArr Delta rho = (M)/(V) [(1)/(1-(P)/(K))-1]`
`Delta rho = (M)/(V) [(K)/(K-P)-1] rArr Delta rho = (M)/(V) [(K-K+P)/(K-P)]`
`Delta rho = rho ((P)/(K-P))`.