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Question

A narrow tube completely filled with a liquid is lying on a series of cylinders as shown in the figure. Assuming no sliding between any surfaces, the value of acceleration of the cylinders for which liquid will not come out of the tube from anywhere is given by
876581_1011d34d6d89456fbeb20c5afd58efac.png

A
gH2L
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B
gHL
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C
2gHL
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D
gH2L
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Solution

The correct option is B gHL
For liquid to not come out of the tube from anywhere, pressure difference between the two open ends must be zero.
i.e., pressure difference across the vertical part must be equal to the pressure difference across the horizontal part (both due to gravity).
i.e.,
ρgH=ρaL
a=gHL



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