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Question

On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius R and making a circular contact of radius with the bottom of the vessel. If r << R and the surface tension of water is T, the value of r just before bubbles detach is (density of water is ρw).


A

R2ρwgT

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B

R23ρwgT

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C

R2ρwg6T

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D

R22ρwg3T

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Solution

The correct option is D

R22ρwg3T


Force due to excess pressure = Upthrust
2TR(πr2)=4π3R3ρwgr=R22ρwg3T


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