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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 isA. `(P)/(rhoK)`B. `(K)/(rhoP)`C. `(rhoP)/(K)`D. `(rhoK)/(P)` |
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Answer» Correct Answer - C `(rho^(`))/(rho)=`((M)/(V-triangleV))/((M)/(V))=(V)/(V-triangleV)` or `(rho^(`))/(rho)=V(V-DeltaV)^(-1)` or `(rho^(`))/(rho)=1+(triangleV)/(V)` (Using Binomial Theoram) or `(triangleV)/(V)=(rho^(`))/(rho)-1` or `(triangleV)/(V)=(rho^(`)-rho)/(rho)` `K=(triangleP)/((triangleV)/(V))=(rho triangleP)/(rho^(`)-rho)` or `rho^(`)-rho=(rho triangleR)/(K)` but `triangleP=P` (given) `thereforerho^(`)-rho=(rhoP)/(K)` |
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