Question

Two pipes P and Q having diameters 2 × 10^-2 m and 4 × 10^-2 m respectively are joined in Series with the main supply line of water. What is the velocity of water flowing in pipe P? 

Answer 1

Diameter of pipe P = 2 × 10^-2 m 

Diameter of Pipe Q = 4 × 10^-2 m 

Acc. to the equation of continuity

a₁ v₁  =a₂ v₂ a_p v_p = a_q v_q →A

a_Q, a_P = Cross – section area of pipe P and Q 

v_P, v_Q = Velocity of liquid at pipe P and Q 

 

i.e. Velocity of water in pipe P is four times the velocity of water in pipe Q.