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Question: In the bottom of a vessel with mercury of density r there is a round hole of radius r. At what maxim...

In the bottom of a vessel with mercury of density r there is a round hole of radius r. At what maximum height of the mercury layer will the liquid still not flow out through this hole? (Surface tension = T) –

A

Trρg\frac{T}{r\rho g}

B

T2rρg\frac{T}{2r\rho g}

C

2Trρg\frac{2T}{r\rho g}

D

4Trρg\frac{4T}{r\rho g}

Answer

2Trρg\frac{2T}{r\rho g}

Explanation

Solution

Because mercury meniscus is convex. The pressure just inside the hole will be less than the outside pressure by 2Tr\frac{2T}{r}

\ hrg = 2Tr\frac{2T}{r} or h = 2Trρg\frac{2T}{r\rho g}