Drops of liquid of density $d$ are floating half immersed in a liquid of density $\rho$. If the surface…

Drops of liquid of density $d$ are floating half immersed in a liquid of density $\rho$. If the surface tension of the liquid is $T$, then the radius of the drop is
  1. $\sqrt{\frac{3 T}{g(3 d-\rho)}}$
  2. $\sqrt{\frac{6 T}{g(2 d-\rho)}}$
  3. $\sqrt{\frac{3 T}{g(2 d-p)}}$
  4. $\sqrt{\frac{3 T}{g(4 d-3 p)}}$

Solution

According to the question, $\frac{4}{3} \pi r^3 d g=\frac{2}{3} \pi r^3 \rho g+T \times 2 \pi r$ or $r=\sqrt{\frac{3 T}{g(2 d-\rho)}}$

Asked in: AP EAMCET 2012

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