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Question

If the velocity of flow as well as the diameter of the flowing pipe are respectively doubled through pipe system in use since long, the head loss will thereafter be

A
Halved
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B
Doubled
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C
Increased 4 times
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D
No change
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Solution

The correct option is B Doubled
According to Darcy Weisback

hf=fLV2d×2g

Now, d' = 2d, V' = 2V

hf=fL(2V)22d×2g=2×fLV2d×2g

hf=2hf

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