Water flows in a horizontal tube (see figure) The pressure of water change by 700 Nm−2 between A and B where the area of cross section are 40 cm2 and 20 cm2. Respectively. Find the rate of flows of water through the tube.(density of water =1000 kgm−3)
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a
3020 cm3/s
b
2420 cm3/s
c
1810 cm3/s
d
2720 cm3/s
answer is D.
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Detailed Solution
As per Equation of Continuity, AAvA=ABvB⇒40vA=20vB⇒2vA=vBAs per Bernoulii's Principle, PA+12ρvA2=PB+12ρvB2 ⇒PA−PB=12ρvB2−vA2⇒ΔP=12ρvB2−vA2 ⇒700=500vB2−vA2⇒715=vARate of flow = area at A x velocity at A=40×10−4×715=27.32×10−4 m3/s= 2732 cm3/s So the rate of flow is nearly equal to 2720 unit .Then correct answer will be 4.