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Question

# On heating water, bubbles beings formed at the bottom of the vessel detatch and rise. Take the bubbles to the 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, value of r just before bubbles detatch is : (density of water is ρ).

A
R2ρwg3T
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B
R2ρwg6T
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C
R2ρwgT
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D
R23ρwgT
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Solution

## The correct option is A R2√ρwg3TThe bubble will detach if pBuoyant force ≥ surface tension∴(2πrT)sinθ=43πR3pwgT×rR×2πr=43πR3pwgr2=23R4pwgT∴r=R2√pwg3TAnswer is A

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