Water level is maintained in a cylindrical vessel placed on horizontal floor up to a fixed height H . A tiny hole of area A is punched in the side wall at a height from the bottom of the vessel equal to y . The emerging stream strikes the ground at a horizontal distance x ( y=0 ) from cylinder. To maintain the level in the vessel at H , the rate (volume/sec) of addition of water is An2g(H−y) . Find n .