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. `K//rhoP`
B. `P//rho K`
C. `rho P K`
D. `rho K//P`

Answer

A

Explanation

`k = (p)/(DeltaV//V) or (DeltaV)/(V) = (p)/(k)`
Also `rho = (M)/(V) and rho = (M)/(V -DetlaV)`
`therefore (rho)/(rho) = (v)/((V-Deltav)) = (1)/((1-DeltaV//V)) = (1-(DeltaV)/(V))^(-1)`
`~~(1+(DeltaV)/(V)) = 1 + (rho)/(k) or (rho)/(rho) - 1 = (p)/(k)`
`or rho -rho =(prho)/(K) " "(thereforeDeltaVlt lt V)`