Fluid Mechanics
The pressure drop per unit length of pipe incurred by a fluid 'X' flowing through pipe is Δp. If another fluid 'Y' having both the specific gravity & density just double of that of fluid 'X', flows through the same pipe at the same flow rate/average velocity, then the pressure drop in this case will be

Δp²
Δp
Δp/2
2Δp

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Fluid Mechanics
A differential pressure cell is used for

Measuring small pressure difference in liquids
Measuring the difference of the impact & the static pressure
Remote recording of pressure difference
Measuring small pressure difference in gases

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