First slide

Viscosity

Question

Water is allowed to flow through a capillary tube of length 10cm and diameter 2 mm under a constant pressure difference of 6.5 cm of water level. If 0.16 litres of water flows in 1 minute, its coefficient of viscosity is,

Easy

A

0.00937 poise
B

0.0937 poise
C

0.000937 poise
D

0.937 poise

Solution

$\large l=10cm;\;r=10^{-1}cm$
$\large h=6.5cm,\;V=0.16lt=0.16\times10^3\;cm^3$
$\large t=1min.=60sec.$
$\large \frac Vt=\frac {\pi Pr^4}{8\eta l}\Rightarrow \eta =\frac {\pi r^4\rho ght}{8Vl}$
$\large =\frac {3.14(10^{-1})^4(1)(6.5)(980)(60)}{8(0.16\times10^3)}(10)=0.00937\;poise$

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