Two water pipes of diameters 2 cm and 4 cm are connected wi…

Physics Fluid Mechanics Fluid Flow Single Correct MCQ

Published on: September 11, 2026

Two water pipes of diameters 2 cm and 4 cm are connected with the main supply line. The velocity of flow of water in the pipe of 2 cm diameter is

4 times that in the other pipe

$\frac{1}{4}$ times that in the other pipe

2 times that in the other pipe

$\frac{1}{2}$ times that in the other pipe

Text Solution

Verified by Experts

The correct answer is:

$d_{A} = 2 \mathrm{cm}$ and $d_{B} = 4 \text{ cm}$ $\therefore \quad r_{A} = 1 \text{ cm}$ and $r_B = 2 \text{ cm}$

From equation of continuity, av = constant

$\therefore \frac{v_A}{v_B} = \frac{a_B}{a_A} = \frac{\pi (r_B)^2}{\pi (r_A)^2} = \left(\frac{2}{1}\right)^2 \Rightarrow v_A = 4 v_B$

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