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  • A water barrel having water upto a depth d is placed on a table of height h. A small hole is made on the wall of the barrel at its bottom. If the stream of water coming out of the hole falls o

A water barrel having water upto a depth d is placed on a table of height h. A small hole is made on the wall of the barrel at its bottom. If the stream of water coming out of the hole falls on the ground at a horizontal distance ' R ' from the barrel, then the value of d is

Option: 1

\mathrm{\frac{4 h^2}{R}}


Option: 2

\mathrm{\frac{2 h^2}{R}}


Option: 3

\mathrm{\frac{R^2}{4 h}}


Option: 4

\mathrm{\frac{R^2}{2 h}}


Answers (1)

best_answer

\mathrm{Velocity \, \, of \, \, efflux \, \, (v)=\sqrt{2 g d}. \, \, Time \, \, taken}

     \mathrm{ t=\sqrt{\frac{2 h}{g}} }
\mathrm{Range \, \, R= velocity \times time =v t=\sqrt{2 g d} \times \sqrt{\frac{2 h}{g}}}
\mathrm{ =\sqrt{4 d h} }
or    \mathrm{R^2=4 d h \quad or \quad d=\frac{R^2}{4 h}},

which is choice (c).

Posted by

Rakesh

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