A bubble of radius \(r\) is made at one end of a capillary tube, with the other end closed. Now, once the closed end is opened, the bubble collapses in time \(T\). Assume that the temperature remains constant, air is inviscid, and its flow is laminar in the tube. Also assume this process to be quasi-static.

If the time taken by another bubble of radius \(kr\) to collapse is \({ k }^{ n }T\), find the value of \(n.\)

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**Hint:** Air flows with constant velocity in the capillary tube after collapse.

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