Question

$16c.c.$ of water flows per second through a capillary tube of radius a cm and of length $l$ cm when connected to a pressure head $h$ cm of water.If a tube of same length and radius $\frac{a}{2}$cm is connected to the same pressure head, the quantity of water flowing through the tube per second will be

• A. $16c.c$
• B. $4c.c$
• C. $1c.c$
• D. $8c.c$

Answer 1

The correct option is C $1c.c$

From poiserellis equation,

$16cc/s=\frac{\pi s^{4}ntg}{8\eta L}$ ------------(1)

In case (2),

$Q=\frac{\pi {\left(\frac{a}{2}\right)}^{2}hfg}{8\eta L}=\left(\frac{\pi a^{4}hfg}{8\eta L}\right)\frac{1}{16}$ [from(1)]

$=\frac{16}{16}=1cc/s$