Question

16cm3 of water flows per second through a capillary tube of radius a cm and of length l cm when connected to a pressure head of h cm of water. If a tube of same length and radius a/2 cm is connected to the same pressure head. The quantity of water flowing through the tube per second will be? and how?

Answer 1

Answer on Question #59306-Physics-Other

16cm³ of water flows per second through a capillary tube of radius a cm and of length l cm when connected to a pressure head of h cm of water. If a tube of same length and radius a/2 cm is connected to the same pressure head. The quantity of water flowing through the tube per second will be? and how?

Solution

The volume per second through a capillary tube of radius is

$$Q = \frac {\pi p a ^ {4}}{8 \eta l} = 16 \mathrm{~cm} ^ {3}$$ $$Q ^ {\prime} = \frac {\pi p \left(\frac {a}{2}\right) ^ {4}}{8 \eta l} = \frac {Q}{2 ^ {4}} = \frac {16 \mathrm{~cm} ^ {3}}{16} = 1 \mathrm{~cm} ^ {3}.$$

Answer: $1 \mathrm{~cm}^{3}$.

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