A water clock (ciepsydra) used in ancient Greece is designed as a vessel with a small...

 

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A water clock (ciepsydra) used in ancient Greece is designed as a vessel with a small orifice O (see figure). The time is determined according to the level of water in the vessel. What should be the equation corresponding to the shape of the vessel for the time scale to be uniform? (Vessel is symmetric about vertical axie and a= the area o orifice and r = speed with which water surface lower down) A) y = ka, Where k= ga B) y= ka, Where k=- ga C) y = e, Where k=- ga D y= kx, Where k 2ga %23 A water clock (ciepsydra) used in ancient Greece is designed as a vessel with a small orifice O (see figure). The time is determined according to the level of water in the vessel. What should be the equation corresponding to the shape of the vessel for the time scale to be uniform? (Vessel is symmetric about vertical axie and a= the area o orifice and r = speed with which water surface lower down) A) y = ka, Where k= ga B) y= ka, Where k=- ga C) y = e, Where k=- ga D y= kx, Where k 2ga %23