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Q.

A horizontal pipe is running full of water. At a point 'A’ it tapers from 400cm2cross - sectional area to 200cm2at other point 'B' . If the pressure difference between A and B is 30 cmof water column the rate of volume flow of water through the pipe is g=10ms−2

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a

402 lit/sec

b

30 lit/sec

c

15 lit/sec

d

52 lit/sec

answer is A.

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Detailed Solution

According to Bernoulli’s theorem p1−p2d=12V22−V12 ⇒30×10-2×1000×101000=12V22−V12 ⇒V22−V12=6 ⇒V1V2=A2A1=200400=12 ⇒4V12−V12=6 V1=2∴V=a1v1=400×2×10−4×103=402lit/sec

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