Siphon will fail to work if
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Siphon will fail to work if
the densities of the liquid in the two vessels are equal
the level of the liquid in the two vessels are at the same height
both its limbs are of unequal length
the temperature of the liquids in the two vessels are the same
A siphon works due to gravitational pressure difference, with liquid flowing from the higher vessel to the lower one. If both liquid levels are at the same height, there's no pressure difference to drive the flow. Equal density, unequal limb length, or equal temperature don't prevent siphon action - it's the equal height that eliminates the driving force.