A tank with base area L2 is filled with a liquid to height H. The tank is accelerated horizontally with acceleration a as shown in figure. If a small hole is made at the point A, then it is observed that the liquid does not come out of the tank. The magnitude of acceleration should be
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a
HLg
b
LHg
c
g
d
none of these
answer is D.
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Detailed Solution
The liquid will not come out of the tank at the point A if the free surface passes through the point itself.∴ tan θ = 2HL = ag or a = (2HL)gNote that volume of water in the tank remains constant.