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Question

Water flows through a horizontal tube as shown in figure. If the difference of heights of water column in the vertical tubes is 2 cm, and the areas of cross section at A and B are 4 cm2 and 2 cm2 respectively, find the rate of flow of water across any section. Given approx.


A

146 cc/s

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B

146 m3/s

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C

246 cc/s

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D

246 m3/s

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Solution

The correct option is A

146 cc/s



from equation of continuity,
A1V1=A2V2
4VA=2VB
VB=2VA ......(1)
From Bernoulli's equation,
P1+,ρgH+12V2=constant
PAPB=12[V2BV2A],ρ
But PAPB=,ρ gh[H=difference in height of watercolumn=2cm]
12,ρV2AV2A=1000times2100
From(1)
12x10004V2A=1000×210
3V2A=410
VA=0.365ms
Flow rate=AAVA=(4cm2)(0.365×100)cms
=146cm3s



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