SATHEE: Properties Of Solids And Liquids Question 225

Properties Of Solids And Liquids Question 225

Question: A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference P. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled is[EAMCET 2001]

Options:

A)P

B) $\frac{3 P}{4}$

C) $\frac{P}{2}$

D) $\frac{P}{4}$

Show Answer

Answer:

Correct Answer: D

Solution:

From $V = \frac{P π r^{4}}{8 η l}$ therefore $P = \frac{V 8 η l}{π r^{4}}$

therefore $\frac{P_{2}}{P_{1}} = \frac{V_{2}}{V_{1}} \times \frac{l_{2}}{l_{1}} \times {(\frac{r_{1}}{r_{2}})}^{4}$

$= 2 \times 2 \times {(\frac{1}{2})}^{4} = \frac{1}{4}$

therefore $P_{2} = \frac{P_{1}}{4} = \frac{P}{4}$ .

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Properties Of Solids And Liquids Question 225

Question: A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference P. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled is[EAMCET 2001]

Options:

Answer:

Solution:

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