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Q.

If it takes 5 minutes to fill a 15 litre bucket from a water tap of diameter 2π   cm, then the Reynolds number for the flows is (density of water =103kg/m3 and viscosity of water =103Pa.s ) close to 

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a

11000

b

560

c

1100

d

5600

answer is D.

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Detailed Solution

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For liquid flow in a pipeline, Reynolds number is given as
R=ρvDη
vflow velocity
 ρdensity
Dinternal daintier of pipeline
The volume flow rate of water through tap is given as
Av=Vt=15×1035×60cm3/s
Av-Cross–section area of tap
v=15×103300×π×(1π)2=50cm/s=0.5m/s
Reynolds number is given as
R=ρvdη=103×0.5×23.14×102103

R=13.14×104=5641

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