When we heat water in a vessel, air bubbles are formed at the bottom. These bubbles detach from the base and rise.
Take the bubbles to be spheres of radius R and making a circular contact of radius r with the bottom of the vessel. If r < < R , and the surface tension of water is T .
If the density of water is ρ , find the value of r just before the bubbles detach.
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If I go on with actual solution , then
Surface tension force
Now, Buoyancy Force : F = V i ρ g
Volume can be calculated by using volume of dome's formula V = 3 π h 2 ( 3 R − h )
But in this case due to the approximation , everything goes neglected and you end up with volume of sphere's formula .
These two forces balance each other !
Can you please check my solution and tell what's incorrect?
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Nothing is incorrect , actually first we should calculate the volume of dome and at end when we will apply condition that r,<<R we will land on volume of sphere !
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