The correct expression for total flow rate (Q) and frictional head loss across the two ends (hL) are

Question

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 expression for total flow rate (Q) and frictional head loss across the two ends (h_L) are                                                                                         

      (a) Q = Q₁ + Q₂ + Q_3;  h_L = h_L1 + h_L2 + h_L3

      (b) Q = Q₁ + Q₂ + Q_3;  h_L = h_L1 = h_L2 = h_L3

      (c) Q = Q₁ = Q₂ = Q_3;  h_L = h_L1 + h_L2 + h_L3

      (d) Q = Q₁ = Q₂ = Q_3;  h_L = h_L1 = h_L2 = h_L3