Q.

A pipe is running full of water. At a point 'A' ; it tapers from 200 cm2 cross - sectional area to 100 cm2 at other point 'B' . If the pressure difference between A and B is 15 cm of water column; the rate of volume flow of water through the pipe is [g=10ms−2]

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a

20 lit/sec

b

30 lit/sec

c

15 lit/sec

d

5 lit/sec

answer is A.

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Detailed Solution

A1V1=A2V2       200V1=100V2⇒V2=2V1 p1−p2=ρ2(v22−v12)   15×10−2×103×10=10002(4v12−v12)1500=500×3v12            v1=1m/sRate of flow =A1V1   =200×10−4×1=20×10−3m3/s   =20 lit/s
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