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Question

# Water is flowing through two horizontal pipes of different diameter which are connected together. The diameter of the two pipes are 3 cm and 6 cm respectively. If the speed of water in the narrower tube is 4 m/s. Then, the speed of water in the wider tube is :

A
16 m/s
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B
1 m/s
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C
4 m/s
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D
2 m/s
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Solution

## The correct option is B 1 m/sRadius of tube 1=[Diameteroftube12]=[32]cmRadius of tube 2=[Diameteroftube22]=[62]cm=8cmAccording to the equation of continuity :-A1V1=A2V2or R21V1=R22V2 Where R1= Radius of tube 1 R2= Radius of tube 2 V1= Speed of water in narrow tubeV2= Speed of water in in wider tube⇒(32)2×4=(3)2×V2⇒94×4=9×V2⇒V2=1m/s

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