A U-tube of uniform cross-section contains a liquid and is accelerated horizontally with acceleration a. The horizontal separation between the two vertical arms is l. The difference in liquid levels is:
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Question

A U-tube of uniform cross-section contains a liquid and is accelerated horizontally with acceleration a. The horizontal separation between the two vertical arms is l. The difference in liquid levels is:

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G1 Physics · Accepted Answer

For equilibrium in the accelerating frame, free surfaces belong to the same equipressure plane with slope dz/dx=−a/g. Across horizontal separation l, the magnitude of level difference is Δh=al/g.