Question

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Question Type: MCQ
Question No. 28
Two liquids are allowed to flow through two capillary tubes of lengths in the ratio 1:2 and radii in the ratio 2.3
under the same pressure difference. If the volume rates of flow of the liquids are in the ratio 8:9, the ratio of
their coefficients of viscosity is
1.1 3 2.3.1 3.49 4.94
1​

Answer 1

Answer:

The answer is option (3) 4:9 (or) 4/9

Answer 2

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$\bf{From \: poiseullies \: eq^{n} \: } \sf{,Q= \frac{\pi p {r}^{4} }{8ηL} </p><p>} \\ \bf{According \: to \: Question,} \\ \longrightarrow \bf{ \: \frac{8}{9} = \frac{ {2}^{4} \times η_{2}}{ {3}^{4} \times η_{1}} \times 2 } \\ \longrightarrow \bf{ \frac{8}{9} = \frac{16 \times 2 \times η_2}{81 \timesη_1 } } \\ \longrightarrow \bf{ \frac{η_1}{η_2} = \frac{ \cancel{32} \times \cancel9}{ \cancel{81} \times \cancel8} = \frac{4}{9}} \\ \longrightarrow \bf{{η_1} : {η_2} = 4 :9}$