Two separate air bubble (radii 0.002 m and 0.004 m) formed of the same liquid (surface tension 0.07 N/m) come together to form a double. Find the radius and the sense of curvature of two internal film surface common to both the bubbles. : Kaysons Education

Question

Two separate air bubble (radii 0.002 m and 0.004 m) formed of the same liquid (surface tension 0.07 N/m) come together to form a double. Find the radius and the sense of curvature of two internal film surface common to both the bubbles.

easy

Solution

Correct option is

0.004 metre

Let the radius of curvature of the common internal film surface of the double bubble formed by two bubbles A and B be r. Excess of pressure as compared to atmosphere inside A is 4T/0.002 and inside B is 4T/0.004. Hence in the double bubble the pressure difference between A and B on either side of the common surface is

This pressure difference will be 4T/r.

Since pressure inside the smaller bubble is greater than inside the bigger bubble, the curvature of the common film will be concave towards the centre of the smaller bubble.

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Two Separate Air Bubble (radii 0.002 M And 0.004 M) Formed Of The Same Liquid (surface Tension 0.07 N/m) Come Together To Form A Double. Find The Radius And The Sense Of Curvature Of Two Internal Film Surface Common To Both The Bubbles.

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Question

Two separate air bubble (radii 0.002 m and 0.004 m) formed of the same liquid (surface tension 0.07 N/m) come together to form a double. Find the radius and the sense of curvature of two internal film surface common to both the bubbles.

Solution

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