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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 densit y 1000 k g/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.
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- h ≥ 80 mm
- h ≥ 70 mm
- h ≥ 75 mm
- h ≥ 81 mm
Correct Option: A
Given, side of cube (a) = 100 m
Density of material of cube = 800 kg/m3
Poured liquid density = 1000 kg/m3
Now, Minimum height to which the liquid needs to be poured into the container for the cube to just lift up, should satisfy the condition
FB ≥ (mg)block
ρfgVfd ≥ (ρV)block× g
1000 × 0.1 × h ≥ 800 × 0.1 × 0.1 × 0.1
h ≥ 0.08 m
h ≥ 80 m
