For flow measurment, a rotameter can be installed in a pipeline

horizontally with flow inlet in a specific direction

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horizontally with flow inlet in any direction

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vertically with flow inlet at the bottom and the outlet at the top

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vertically with flow inlet at the top and outlet at the bottom

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Solution

The correct option is C vertically with flow inlet at the bottom and the outlet at the top
Force balance equation of flow is

$F_{g} = F_{B} + F_{D}$

is valid only vertical pipeline with
flow inlet at bottom.
In any other configuration, above
equation do not held.
In horizontal pipe, float will flow will flow in direction of flow.
In verticle pipe with in flow at top, float will not be static and will move downwards as,

$(F_{D} + F_{g}) > F_{B}$

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