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Q.

A vessel whose bottom has round holes with diameter of 1mm is filled with water Assuming that surface tension acts only at holes, then the maximum height to which the water can be filled in vessel without leakage is (Given surface tension of water is 75 X 10^-3 N/m and g = 10m / s²)

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a

3 cm

b

0.3 cm

c

3 mm

d

3 m

answer is A.

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Detailed Solution

Gauge pressure = excess pressure above the meniscus
$\Rightarrow hdg = \frac{2 T}{r} \Rightarrow h = \frac{2 T}{rdg}$

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A vessel whose bottom has round holes with diameter of 1mm is filled with water Assuming that surface tension acts only at holes, then the maximum height to which the water can be filled in vessel without leakage is (Given surface tension of water is 75 X 10-3 N/m and g = 10m / s2)