Three tubes A, B, C are connected to a horizontal pipe in which liquid is flowing. The radii of the pipes at the joints of A, B and C are 2 cm, 1 cm and 2 cm respectively. The height of the liquid:

in A is maximum

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in A and C is equal

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is same in all the three

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in A and B is same

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Solution

The correct option is B in A and C is equal
According to the Bernoulli's theorem, for the flow of liquid through a horizontal pipe
$P + \frac{1}{2} ρ V^{2}$ = constant
where variables have their usual meanings.
Hence, when the tubes A, B and C are connected to the pipe with different radii, the height of liquid in tubes is different and depends on radii of tubes in inverse proportion. Hence, height of the liquid in the tubes A and C is the same.

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