Three parallel pipes connected at the two ends have flow-rates

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Three parallel pipes connected at the two ends have flow-rates Q₁, Q₂ and Q₃ respectively, and the corresponding frictional head losses are h_L1, h_L2 and h_L3 respectively. The correct expressions for total flow rate (Q) and frictional head loss across the two ends (h_L) are

1. Q = Q₁ + Q₂ + Q₃; h_L = h_L1 + h_L2 + h_L3
2. Q = Q₁ + Q₂ + Q₃; h_L = h_L1 = h_L2 = h_L3
3. Q = Q₁ = Q₂ = Q₃; h_L = h_L1 + h_L2 + h_L3
4. Q = Q₁ = Q₂ =Q₃; h_L = h_L1 = h_L2 = h_L3

Correct Option: B

Total flow rate Q = Q₁ + Q₂ + Q₃
Head loss h = h_L1 = h_L2 = h_L3