a cylinder containing water stands on table of height h . a small hole is punched in the side of cylinder at its horizontal distance r from the table .then, the depth of water in cylinder is
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Solution :
Let t is time taken by the jet to travel the vertical height H from bottom of the cylinder and v is the velocity of stream of water,
H=1/2gt^2------------1
t=(2H/g)^1/2-------------2
v=(2gh)^1/2-----------3
The horizontal distance R travelled by stream=vt=[(2gh)^1/2][(2H/g)^1/2]----------------4
solving equation 4, we get h(depth of water in the cylinder)=R^2/4H(ans)
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