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Once King Heron of Syracuse gave Archimedes a crown
made of gold. He suspected that it was not pure but
alloyed with silver. He asked Archimedes to test its
purity without damaging it. This was a new problem for
the great mathematician.
He
took note of the issue and proceeded to take a bath.
On entering his bathtub, Archimedes observed that his
body displaced some water and the water level in the
tub rose. He then jumped out and ran down the street,
naked, shouting "Eureka! Eureka!' (I have found it!).
He had found a way to solve the king's problem.
Archimedes
filled a vessel with water and dipped the crown in it.
The water displaced by it was measured.
Then
he filled the vessel with water and dipped an equal
mass of pure gold in it. The water displaced was again
collected and measured.
The
amount of water displaced in the two observations was
different. From this experiment Archimedes came to the
conclusion that the gold crown was impure (otherwise
the water displaced by the crown would have been equal
to the water displaced by pure gold of the same weight)!
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