A large block of ice 5 m thick has a ver...

A large block of ice `5 m` thick has a vertical hole drilled through it and is floating in the middle of a lake. What is the minimum length of a rope required to scoop up a bucket full of water through the hole? Relative density of ice `=0.9`.

Text Solution

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Let area of ice-cuboid excluding hole `= A`
weight of ice block `=` weight of liquid displaced `Arho_(ice)lg = Arho_(w) (l - h) g`
`(9l)/(10) = l - h rArr h = l - (9l)/(10) = ((l)/(10))`

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