Two separate air bubbles having radii (r1 = 0.002cm, r2 = 0.004cm) formed of same liquid (T = 0.07N/m) are brought together to form a double bubble. Find the radius of curvature of the internal film surface common to both the bubbles.

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Two separate air bubbles having radii (r₁ = 0.002cm, r₂ = 0.004cm) formed of same liquid (T = 0.07N/m) are brought together to form a double bubble. Find the radius of curvature of the internal film surface common to both the bubbles.

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0.001cm

0.002 cm

0.004 cm

0.003 cm

answer is C.

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Detailed Solution

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

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