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A solid cube is floating (completely sub...

A solid cube is floating (completely submerged) in a container filled with some liquid. The system is heated slowly. Ramesh states that cube will slowly sink. Suresh immediately responds that on the contary it will rise. Choose CORRECT statement(s)

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Figure shows a container filled with a liquid of density rho . Four points A, B, C and D lie on the vertices of a vertical square. Points A and C lie on a vertical line and points B and D lies on a horizontal line. Choose the correct statement(s) about the pressure at the four points.

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A solid cube floats in a liquid of density rho with half of its volume submerged as shown. The side length of the cube is a, which is very small compared to the size of the container. Now a liquid of density (rho)/(3) (immiscible with the liquid already in the container) is poured slowly into the container. The column of the liquid of density (rho)/(3) that must be poured so that the cube is fully submerged (with its top surface coincident with the surface of the poured liquid) is :