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The head loss in a sudden expansion from 6 cm diameter pipe to 12 cm diameter pipe, in terms of velocity V1 in the smaller diameter pipe is

(a) $\frac{3}{16}\cdot \frac{V_{1}^{2}}{2g}$                         (b) $\frac{5}{16}\cdot \frac{V_{1}^{2}}{2g}$

(c) $\frac{7}{16}\cdot \frac{V_{1}^{2}}{2g}$                          (d) $\frac{9}{16}\cdot \frac{V_{1}^{2}}{2g}$

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