A water clock used in ancient Greek is designed as a closed vessel with a small orifice O. The time is determined accrding to the level of the water in the vessel. What should be the shape of the vessel be for the time scale to be uniform. Find mathemtical equation governing curve AOB.

Find the time taken for height of water level to fall from 'h' to 'h'in a vessel, if water comes out from a small hole at the bottom

A water clock consist of a vessel which has a small orifice O. The upper contaienr is filled with water which trickless down into the lower contaienr. The shape of the (upper or lower) contaienr is such that height of water in the upeer container changes at a uniform rate. What should be the shape of the container? Assume that atmospheric air can enter inside the lower container through a hole in it taht the upper container is open at the top. Vessel is axially symmetric.

A cylindrical vessel of height 500mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being 200mm. Find the fall in height(in mm) of water level due to opening of the orifice. [Take atmospheric pressure =1.0xx10^5N//m^2 , density of water=1000kg//m^3 and g=10m//s^2 . Neglect any effect of surface tension.]

A cylindrical vessel of height 500mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being 200mm. Find the fall in height(in mm) of water level due to opening of the orifice. [Take atmospheric pressure =1.0xx10^5N//m^2 , density of water=1000kg//m^3 and g=10m//s^2 . Neglect any effect of surface tension.]

A cylindrical vessel of height 500mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being 200mm. Find the fall in height(in mm) of water level due to opening of the orifice. [Take atmospheric pressure =1.0xx10^5N//m^2 , density of water=1000kg//m^3 and g=10m//s^2 . Neglect any effect of surface tension.]

A tube of uniform cross section is used to siphon water from a vessel V as shown in the figure. The pressure over the open end of water in the vessel is atmospheric pressure (P_(0)) . The height of the tube above and below the water level in the vessel are h_(1) and h_(2) , respectively. Determine the velocity v_(B) of the water issuing out at B .

A tube of uniform cross section is used to siphon water from a vessel V as shown in the figure. The pressure over the open end of water in the vessel is atmospheric pressure (P_(0)) . The height of the tube above and below the water level in the vessel are h_(1) and h_(2) , respectively. Determine the velocity v_(B) of the water issuing out at B .