Question
A cube of side 100 mm is placed at the bottom of an empty container on one of its faces. The density of the material of the cube is 800 kg/m3. Liquid of density 1000 kg/m3 is now poured into the container. The minimum height to which the liquid needs to be poured into the container for the cube to just lift up is _________ mm
Answer :
80
To just lift the block from the bottom,
Weight of cube = FB
⇒ ρg × V = ρ g × V*
⇒ 800 × a3 = 1000 × a2 × h
⇒ h = 0.8 × a
= 0.8 × 100 = 80 mm
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