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Question

The minimum horizontal acceleration (in ms2) of the container filled with water upto height of 2 m as shown, so that the pressure at point A of the container becomes atmospheric is (the tank is of sufficient height)

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Solution

As the container accelerates, free surface of liquid tilts as shown below
Volume equality gives
2×3=12×h×3h=4 m

tanθ=43=aga=43g=13.33 ms2

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