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Question

Two soap bubbles of radii r and 2r are connected by a capillary tube-valve arrangement as shown in the diagram. The valve is now opened. Then which one of the following will be the result:
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A
The radii of the bubbles will remain unchanged
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B
The bubbles will have equal radii
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C
The radius of the smaller bubble will increase and that of the bigger bubble will decrease
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D
The radius of the smaller bubble will decrease and that of the bigger bubble will increase
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Solution

The correct option is D The radius of the smaller bubble will decrease and that of the bigger bubble will increase
It is to be remembered that Pressure inside a bubble is inversely proportional to radii of the bubble. Hence pressure inside a small bubble is more than inside a bigger bubble. which will result in the air to flow from a smaller bubble to the larger one.

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