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Directions (121 -135): Read the following passage carefully and answer thequestions given below it. Certain words/ phrases have been printed in bold tohelp you to locate them while answering some of the questions.
Hiero, King of Syracus, had commissioned from a goldsmith of the town acrown of pure gold, but, having taken delivery of the finished article, he wassuspicious. There was reason to believe that the craftsman had mixed with thegold a certain amount of other metal of inferior value. But how to find out? Therewas no direct evidence, and it was therefore obviously a case for the learned menof the city. And who more learned than Archimedes?
The mathematician was therefore charged with the task which wouldnowadays be considered a simple one, but was then a matter for serious thought.Nothing known to science could be brought forward to prove fraud or otherwise onthe part of the goldsmith.
It is more than probable that the human side of the problem interestedArchimedes not at all, but the scientific puzzle worried him intensely. This worrypursued him everywhere he went for days, and persisted through the routineacts of his daily round. in the normal course of that routine, he went to the publicbaths We can imagine him standing a the edge of the bath tub as he prepares toenter it, absently allowing the Water to flow until’he cannot help noticing it.Suddenly, he splashed out of his tub, shouting at the top of his voice; “Eureka!Eureka! (I have found it! I have found it!) Without waiting, or even thinking ofsuch a detail” as clothes, he tore out of the building and rushed through thestreets of Syracuse, still shouting: “Eureka! Eureka!.”
Arrived at his house, the mathematician put his newly found discovery to apractical test, and found indeed that a body plunged in a fluid loses an amount ofits weight which is equal to the weight of the fluid displaced by it. With this as astarting point - as it was to prove the starting point of many subsequent discoveriesof importance - Archimedes was able to tell his king how much pure gold was inhis crown. Thus was the first fundamental law in hydrostatics enunciated.
Archimedes was by this time well known to his fellow townsmen, and hissometimes strange appearance and unusual actions probably met with indulgentsmiles. He came from a good family; his father Pheidias was an astronomer; hewas on intimate terms with, and - according to some - was even a kinsman ofKing Hiero himself.
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