Correct Answer - Option 2 : Doubled
Concept-
Head loss due to flow in a pipe can be given as \({h_L} = \frac{{fL{V^2}}}{{2gd}}\)
Here f = friction factor, L = Length of pipe, V = Velocity of flow
g = Acceleration due to gravity, d = diameter of pipe
Calculation-
The velocity of flow as well as the diameter of the flowing pipe are respectively doubled
So
\({h_{11}} = \frac{{fLv_1^2}}{{2g{d_1}}}\)
\({h_{12}} = \frac{{4fLv_1^2}}{{4g{d_1}}}\)
\(\frac{{{h_{l1}}}}{{{h_{l2}}}} = 0.5\;\)
So new head loss will be two times the initial head loss.
If the velocity of flow as well as the diameter of the flowing pipe are respectively doubled, the head loss thereafter be doubled.