The normal density of gold is rho. It.s bulk modulus is K. Find the increase in density of a piece of gold when a pressure Pis applied uniformly from all sides?

The normal density of gold is rho. It.s bulk modulus is K. Find the in

1.	The normal density of gold is rho. It.s bulk modulus is K. Find the increase in density of a piece of gold when a pressure Pis applied uniformly from all sides?
Answer» <P> Solution :`K=(P)/((dV)/(V)) rArr (dV)/(V)=(P)/(K) and RHO =(M)/(V), rho +Delta rho=(M)/(V-DeltaV) rArr rho=(M)/(V-DeltaV)-(M)/(V)` `Delta rho=(M)/(V)[(1)/(1-(DeltaB)/(V))-1] rArr Deltarho=(M)/(V)[(1)/(1-(P)/(K))-1] rArr Delta rho=(M)/(V)[(K)/(K-p)-1] rArr Delta rho =(M)/(V) [(K-K+P)/(K-P)]` `Delta rho=(rho P)/(K-P)`