Fluid Mechanics Properties of Fluids Capillary Action

There is a pin hole of diameter 0.1 mm at the bottom of a glass vessel containing mercury. What depth of mercury can be put in the vessel without any leakage occurring? Take σ = 0.55 N/m

1
h = 0.165 cos θ m
2
h = 0.23 cos θ m
3
h = 0 m
4
h = 10.3 m

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