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An aluminium cube of side 20cm floats in...

An aluminium cube of side `20cm` floats in mercury. How much farther will the block sink when tempereture rises from `27^(@)C` to `77^(@)C` ? Density of aluminium and mercury at `27^(@)C` are `2.7` and `13.6g//cc` while the coeficient of volume expansion of mercury and linear expansion of aluminium are `1.8xx10^(-4)//^(@)C` and `23xx10^(-6)//^(@)C` respectively.

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