This problem involves the principle of buoyancy (Archimedes' principle). When an object floats, the buoyant force equals its weight. When it is fully submerged (at neutral buoyancy), the buoyant force equals its weight plus any additional load. The buoyant force is the weight of the fluid displaced, calculated as the volume of the immersed part multiplied by the fluid density and the acceleration due to gravity.
A solid cube just gets completely immersed in water when a 0.2 kg mass is placed on it. If the mass is removed, the cube is 2 cm above the water level. What is the length of each side of the cube ?
Asked in UPPSC Upper Mains 2007 · UPPCS Prelims 2002 · Topic: Mechanics (Fluid Statics and Dynamics (Continuity Equation, Bernoulli's Theorem))
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