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Physics

Fluid-Mechanics

Easy

Question

A water tank of height H, completely filled with water is placed on a level ground. It has two holes one at a depth h from ton and the other at height h form its base. The water ejecting from both holes

both the holes will fall at the same spot
upper hole will1 fall farther than that from the lower hole
upper hole will fall closer then that from the lower hole
more information is required.

The correct answer is: both the holes will fall at the same spot

Velocity of water coming out from hole A $equals v subscript 1 equals square root of 2 g h end root$
$table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell equals v subscript 2 equals square root of 2 g left parenthesis H minus h right parenthesis end root end cell row cell equals t subscript 1 equals square root of 2 left parenthesis H minus h right parenthesis divided by g end root end cell row cell equals t subscript 2 equals square root of 2 h divided by g end root ∣ end cell row cell therefore space of 1em R equals v subscript 1 t subscript 1 equals v subscript 2 t subscript 2 equals 2 g square root of h left parenthesis H minus h right parenthesis end root end cell end table$

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