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A container, whose bottom has round holes with diameter 0.1 \mathrm{~mm} is filled with water. The maximum height in \mathrm{cm} upto which water can be filled without leakage will be what?
\mathrm{Surface \, \, tension =75 \times 10^{-3} \mathrm{~N} / \mathrm{m}and \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2 :}

 

Option: 1

20 cm


Option: 2

40 cm


Option: 3

30 cm


Option: 4

60 cm


Answers (1)

best_answer

\mathrm{\begin{aligned} & \mathrm{h} \rho g=\frac{2 \mathrm{~T} \times 2}{0.1} \\ & \mathrm{~h} \times 1000 \times 10=\frac{2 \times 75 \times 10^{-3} \times 2}{0.1 \times 10^{-3}} \\ & \mathrm{~h}=\frac{300}{1000}-0.3 \mathrm{~m}=30 \mathrm{~cm} \end{aligned}}

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