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Question: Answered & Verified by Expert

In the diagram shown, the difference in the two tubes of the manometer is 5 cm, the cross-section of the tube at A and B is 6 mm2 and 10 mm2 respectively. The rate at which water flows through the tube is g=10 m s-2

PhysicsMechanical Properties of FluidsJEE MainJEE Main 2014 (19 Apr Online)
Options:
  • A 7.5 cc s-1
  • B 12.5 cc s-1
  • C 8.0 cc s-1
  • D 10.0 cc s-1
Solution:
2288 Upvotes Verified Answer
The correct answer is: 7.5 cc s-1

6vA=10vB  ......1

12ρvA2-ρgh=12ρvB2  .........(2)

vA=10.8 m s-1 

 dVdt=AvA

=6×10-2 cm2×1000.8 cm s-1=7.5 cc s-1

OR

By the concept of the venturi meter tube

rate of flow=Q=A1A22g(h1h2)(A22A12)  

=6×10×1042×100×5(36+100)×102

=7.5 cc s-1

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