First slide

Viscosity

Question

16 cm³ of water flows per second through a capillary tube of radius o cm and of len6h /cm when connected to a pressure head of fi cm of water. If a tube of the same length and radius $α$ /2 cm is connected to the same pressure head, the quantity of water flowing through the tube per second will be

Easy

A

16cm³
B

4cm³
C

1cm³
D

8cm³

Solution

$16 = \frac{{πha}^{4}}{8 ηl} Now, V = \frac{πh (a / 2)^{4}}{8 ηl} = \frac{{πha}^{4}}{8 ηl} \times \frac{1}{16} = 16 \times \frac{1}{16} = 1 {cm}^{3}$

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