﻿ A vessel, whose bottom has a hole of diameter 0.2mm, is filled with water. Find the maximum height to which the water can be filled without leaking it from the hole. (Surface tension of water is 70 dyne/cm) from Physics Mechanical Properties of Fluids Class 11 Manipur Board

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A vessel, whose bottom has a hole of diameter 0.2mm, is filled with water. Find the maximum height to which the water can be filled without leaking it from the hole. (Surface tension of water is 70 dyne/cm)

Let the vessel be filled to a height of h.

The force exerted by height column of water will be balanced by surface tension force on the free surface of water at the hole, at equilibrium.

That is,

So, 'h' is the maximum height to which the water can be filled without leaking it from the hole.
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