A piece of wood of volume `20.5cm^(3)` is tied to a piece of lead of volume `1cm^(3)`. State whether the combination will sink or float in water. [Specific gravity of wood and lead are respectively 0.5 and 11.4]
Text Solution
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Weight of the piece of wood `20.5xx0.5xxg=10.25gxxg` Weight of lead = `1xx11.4xxg=11.4gxxg` `therefore` Total weight of the combination = `(10.25+11..4)xxg=21.65gxxg` Total volume of wood and lead = (20.5 + 1) = `21.5cm^(3)` `therefore` Weight of displaced water by wood and lead = `21.5gxxg` `because` Weight of combination `gt` weight of displaced water So, when the piece of wood and lead are tied together, the combination will sink in water.
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