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JEE Main 2014 · 2014-04-06 Offline · Q10

On heating water, bubbles being formed at the bottom of the vessel detatch and rise. Take the bubbles to be spheres of radius R and making a circular…

On heating water, bubbles being formed at the bottom of the vessel detatch 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 $\displaystyle \mathrm{r} \ll \mathrm{R}$, and the surface tension of water is T, value of r just before bubbles detatch is : (density of water is $\displaystyle \rho_{\mathrm{w}}$ ) Figure: JEE Main Physics 2014, Surface Tension and Viscosity
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JEE Main 2014 Physics question, with the answer from NTA’s final answer key. Where our answers come from.