First slide

Viscosity

Question

Water is flowing from a reservoir through two tubes of lengths l m and 16 m respectively fixed at the bottom of reservoir. The diameters of their bores are 4 mm and 8 mm
respectively. The rate of flow of water in these tubes will be in the ratio of:

Moderate

A

1 : 1
B

1 : 4
C

1 : 8
D

1 : 16

Solution

Rate of flow $\infty \frac{r^{4}}{l}$
$\frac{Q_{2}}{Q_{1}} = {(\frac{r_{2}}{r_{1}})}^{4} (\frac{l_{1}}{l_{2}}) = {(2)}^{4} \times \frac{1}{16} = \frac{1}{1}$

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