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Question

A vessel whose bottom has a round hole with diameter 0.1 mm is filled with water. The maximum height up to which water can be filled without leakage is ............. cm (given surface tension =7.5×102Nm1 and g=10ms2


A

100 cm

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B

75 cm

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C

50 cm

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D

30 cm

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Solution

The correct option is D

30 cm


Self-weight of water column is to be balanced with force due to the surface tension.

T(2πr)=mgT(2πr)=ρvgT(2πr)=ρAhgh=T(2πr)ρAg; h=2Tρrg


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