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A thread of liquid is in a uniform capil...

A thread of liquid is in a uniform capillary tube of length L. As measured by a ruler. The temperature of the tube and thread of liquid is raised by `DeltaT`. If `gamma` be the coefficient of volume expansion of the liquid and `alpha` be the coefficient of linear expansion of the material of the tube, then the increase `DeltaL` in the length of the thread, again measured by the ruler will be

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