Water enters a junction through a pipe of cross-sectional area 12 cm² with speed 5 m/s. The flow divides into two outlet pipes of areas 4 cm² and 6 cm². If the speed of water in the 4 cm² outlet is 6 m/s, what is the speed of water in the 6 cm² outlet?
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Question

Water enters a junction through a pipe of cross-sectional area 12 cm² with speed 5 m/s. The flow divides into two outlet pipes of areas 4 cm² and 6 cm². If the speed of water in the 4 cm² outlet is 6 m/s, what is the speed of water in the 6 cm² outlet?

Options

G1 Physics · Accepted Answer

For incompressible steady flow at a junction, volume flow rate entering = total volume flow rate leaving. Therefore, A(in)v(in) = A₁v₁ + A₂v₂. Substitute the given values: 12×5 = 4×6 + 6v₂. Thus, 60 = 24 + 6v₂. Hence, 6v₂ = 36, so v₂ = 6 m/s. Correct option: C.