A uniform sphere of density `rho` floats at the interface of two liquids of densities `rho_(1)` and `rho_(2)(>rho_(1))` The sphere has `(2)/(3)` rd of vertical diameter in denser liquid and remaining part in the other liquid.If `a rho=b rho_(1)+c rho_(2)` then b+c-a=_______.

A solid sphere of radius r is floating at the interface of two immiscible liquids of densities rho_(1) and rho_(2)(rho_(2) gt rho_(1)) , half of its volume lying in each. The height of the upper liquid column from the interface of the two liquids is h. The force exerted on the sphere by the upper liquid is (atmospheric pressure = p_(0) and acceleration due to gravity is g):

A solid sphere having volume V and density rho floats at the interface of two immiscible liquids of densityes rho_(1) and rho_(2) respectively. If rho_(1) lt rho lt rho_(2) , then the ratio of volume of the parts of the sphere in upper and lower liquid is

Equal masses of two substance of densities rho_(1) and rho_(2) are mixed together. What is the density of the mixture?

A ball of density rho is released from deep inside of a liquid of density 2 rho . It will move up

A block of density rho_(1) floats in two immiscible liquids of density 4 rho and 2 rho , such that (1/4)^(th) portion is in liquid of density 4 rho and remaining liquid of density 2 rho ,then rho_(1) =_________ g/(cm)^3 (Given rho=0.8g/(cm)^3 )

A cube of 1 kg is floating at the interface of two liquids of density rho_(1) = 3//4 gm//cm^(3) and rho_(2) = 2.5 gm//cm^(3) The cube has (3//5)^(th) part in rho_(2) and (2//5)^(th) part in rho_(1) .Find the density of the cube .

A narrow U-tube placed on a horizontal surface contains two liquids of densities rho_(1) and rho_(2) . The columns of the liquids are indicated in the figure. The ratio (rho_(1))/(rho_(2)) is equal to :