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Question

# Water flows through two identical tubes A and B. A volume V0 of water passes through the tube A and 2V0 through B in a given time. Which of the following may be correct?

A
Flow in both the tubes are steady
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B
Flow in both the tubes are turbulent
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C
Flow is steady in A but turbulent in B
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D
Flow is steady in B but turbulent in A
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Solution

## The correct options are A Flow in both the tubes are steady B Flow in both the tubes are turbulent C Flow is steady in A but turbulent in BReynolds number, R = ρudμ where ρ = density, u = mean velocity, d = diameter and μ = viscosity We know flow is Turbulent if R > 4000In identical tubes, if volume V flows through A and 2V flows through B in a given time, then mean velocity,u in tube B is greater than that in A uB > uA⟹ RB>RAoption(D) ⟹ RA > 4000 ⟹ RB > RA > 4000 So RB > 4000 ⟹ Flow is turbulent in Boption (C) ⟹ RB > 4000 , 2000 > RA is possible(A)(B) options are also possible

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