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  • A cylindrical vessel open at the open at the top is high and <img alt="10 \mathrm{~cm}"

A cylindrical vessel open at the open at the top is 20 \mathrm{~cm} high and 10 \mathrm{~cm} in diameter. A circular hole whose cross-sectional area 1 \mathrm{~cm}^2 is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate 100 \mathrm{~cm}^3 \mathrm{~s}^{-1}. The height of water in the vessel under state is \mathrm{ (Take \, \, \mathrm{g}= 1000\, \, \mathrm{cms}^{-2} )}

Option: 1

20 cm


Option: 2

15 cm


Option: 3

10 cm


Option: 4

5 cm


Answers (1)

best_answer

\mathrm{\text { Inlet }=\text { outlet }}

\mathrm{\alpha d t=a \sqrt{2 g h} d t}

\mathrm{ \begin{aligned} & \mathrm{h}=\frac{\alpha^2}{2 \mathrm{ga}^2} \\ & \mathrm{~h}=\frac{(100)^2}{2 \times(1000)(1)} \end{aligned} }

Posted by

jitender.kumar

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