A tank is filled with two immiscible liquids of densities 2rho and rho each of height h. Two holes are made to the side wall at (h)/(2) and (3h)/(2) from upper surface of the liquid, then find the ratio of velocity of efflux of the liquids through the holes

A tank is filled with two immiscible liquids of densities 2rho and rho

1.	A tank is filled with two immiscible liquids of densities 2rho and rho each of height h. Two holes are made to the side wall at (h)/(2) and (3h)/(2) from upper surface of the liquid, then find the ratio of velocity of efflux of the liquids through the holes
Answer» Solution :According to Bernoullis theorem, to find `v_(1)` `P+rhog((h)/(2))=P+(1)/(2)(rho)(v_(1)^(2))impliesv_(1)=SQRT(gh)` to find `v_(2),P+(rhogh)+(2rho)g((h)/(2))=(1)/(2)(2rho)v_(2)^(2)+P` `implies v_(2)=sqrt(2gh) therefore (v_(1))/(v_(2))=(1)/(sqrt(2))`