A container, whose bottom has round holes with diameter 0.1 mm is… - Vidyadip

MCQ

A container, whose bottom has round holes with diameter $0.1$ $mm $ is filled with water. The maximum height in cm upto which water can be filled without leakage will be ........ $cm$

Surface tension $= 75 \times 10^{-3}$ $ N/m $ and $g = 10$ $ m/s^2$:

A
$20$
B
$40$
✓
$30 $
D
$60$

✓

Answer

Correct option: C.

$30 $

c
Pressure $=\frac{2 T}{R}=\rho g h$

$\Rightarrow \frac{2 \times 75 \times 10^{-3}}{0.05 \times 10^{-3}}=10^{3} \times 10 \times h$

$\Rightarrow 3000=10^{3} \times 10 \times h$

$\Rightarrow h=0.3 m=30 \mathrm{cm}$

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