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 $r$ with the bottom $R$ 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 detach is: (density of water is ${\rho _w}$)

Question

${R^2}\sqrt {{{{\rho _w}g} \over {3T}}} $

${R^2}\sqrt {{{{\rho _w}g} \over {6T}}} $

${R^2}\sqrt {{{{\rho _w}g} \over {T}}} $

${R^2}\sqrt {{{{2\rho _w}g} \over {3T}}} $

Solution

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