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A cubical block of ice floating in water...

A cubical block of ice floating in water has to suport metal piece weighing 0.5 kg. What can be the minimum edge of the block so that it does not sink in water/ specific gravity of ice=0.9.

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The correct Answer is:
A, C

Weight of ice block+weight of metal piece
=upthrust on 100% volume of ice cube.
Let a= side of ice cube, Then,
`[(a^3)xx900xxg+0.5g]=(a^3)(1000)(g)`
`:. a^(3)=(5xx10^(-3))m^(3)`
or, `a~~0.17m` or `17 cm`.
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