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Question

If a single pipe of length L and diameter D is to be replaced by three pipes of same material, same length and equal diameter d (d < D), to convey the same total discharge under the same head loss, then d and D are related by

A
D=d31/5
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B
D=d25/3
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C
D=d32/3
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D
D=d23/2
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Solution

The correct option is A D=d31/5
LD5=L1D51+L2D52+L3D53
Since L1=L2=L3=L
and D1=D2=D3=d
LD5=Ld5+Ld5+Ld5
1D5=3d5
D=d/(3)1/5

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