In the following fig- is shown the flow of liquid through a horizontal pipe- Three tubes A- B and C are connected to the pipe- The radii of the tubes A- B and C at the junction are respectively 2 cm - 1 cm and 2 cm- It can be said that theA- Height of the liquid in the tubes A and B is the sameB- Height of the liquid in all the three tubes is the sameC- Height of the liquid in the tubes A and C is the sameD- Height of the liquid in the tube A is maximum

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In the follow...

Question

In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the

Height of the liquid in the tube A is maximum

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Height of the liquid in the tubes A and B is the same

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Height of the liquid in all the three tubes is the same

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Height of the liquid in the tubes A and C is the same

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Solution

The correct option is D
Height of the liquid in the tubes A and C is the same

As cross-section areas of both the tubes A and C are same and tube is horizontal. Hence according to equation of continuity $v_{A} = v_{C}$ and therefore according to Bernoulli's theorem $P_{A} = P_{C}$ i.e. height of liquid is same in both the tubes A and C.

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