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Mechanical Properties Of Fluids

Question
CBSEENPH11026259

If two soap bubbles of different radii are connected by a tube, then

  • air flows from bigger bubble to the smaller bubble till sizes become equal

  • air flows from bigger bubble to the smaller bubble till sizes are interchanged

  • air flows from smaller bubble to bigger

  • there is no flow of air

Solution

C.

air flows from smaller bubble to bigger

The excess pressure inside the soap bubble is inversely proportional t radius of soap bubble i.e 

                     ρ  1r

where r is the radius of the bubble.

It flows that pressure inside a smaller bubble is greater than that inside a bigger bubble. Thus if these two bubbles are connected by a tube, air will flow from smaller bubble to a bigger bubble and the bigger bubble grows at the expense of the smaller one. Air flows from smaller bubble to bigger as the pressure in a smaller bubble is higher.