Two separate air bubbles (r1 = 0.02 cm, r2=0.04 cm) formed of same liquid T = 0.07 N/m come together to form a double bubble. Find the radius and sense of curvature of the internal film surface common to both the bubbles

Question

Two separate air bubbles (r1 = 0.02 cm, r2=0.04 cm) formed of same liquid T = 0.07 N/m come together to form a double bubble. Find the radius and sense of curvature of the internal film surface common to both the bubbles (A) 0.001cm (B) 0.002 cm (C) 0.004 cm (D) 0.003 cm

Tardigrade Admin · Accepted Answer

r = (r1 r2/r2 - r1) As the excess pressure in smaller towards concave surface pressure in smaller bubble is greater than larger bubble, the common surface is concaw towards the centre of the small bubble

Q. Two separate air bubbles $(r_{1} = 0.02 c m, r_{2} = 0.04 c m)$ formed of same liquid T = 0.07 N/m come together to form a double bubble. Find the radius and sense of curvature of the internal film surface common to both the bubbles

0.001cm

0.002 cm

0.004 cm

0.003 cm

$r = \frac{r _{1} r _{2}}{r _{2} - r _{1}}$ As the excess pressure in smaller towards concave surface & pressure in smaller bubble is greater than larger bubble, the common surface is concaw towards the centre of the small bubble

Q. Two separate air bubbles (r1​=0.02cm,r2​=0.04cm) formed of same liquid T = 0.07 N/m come together to form a double bubble. Find the radius and sense of curvature of the internal film surface common to both the bubbles