Rank in order, from highest to lowest, the liquid heights $h_{a}, h_{b}, h_{c} & h_{d}$ . The air flow is from left to right. The liquid columns are not drawn to scale but pipe diameter is drawn to scale.

h_{b} = h_{d} > h_{a} > h_{b}

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h_{b} = h_{d} > h_{c} > h_{a}

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h_{d} > h_{c} > h_{b} > h_{a}

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h_{b} > h_{d} > h_{c} > h_{a}

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Solution

The correct option is D $h_{b} > h_{d} > h_{c} > h_{a}$
The liquid level is higher where the pressure is lower.
The pressure is lower where the flow speed is higher. ( Bernoulli's principle)
The flow speed is highest in the narrowest tube, zero in the open air.( Equation of continuity)
Hence $h_{b} > h_{d} > h_{c} > h_{a}$ .

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