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NEET UG PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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Application +4 | -1
Two capillaries of radii r1{r_1} andr2{r_2}, length l1{l_1} and l2{l_2} respectively are in series. A liquid of viscosity η\eta is flowing through the combination under a pressure difference pp. What is the rate of volume flow of liquid?
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Correct option: D
πp8η(l1r14+l2r24)−1\frac{{\pi \mathrm{ }p}}{{8\eta }}{\left( {\frac{{{l_1}}}{{r_1^4}} + \frac{{{l_2}}}{{r_2^4}}} \right)^{ - 1}}
Option D (πp8η(l1r14+l2r24)−1\frac{{\pi \mathrm{ }p}}{{8\eta }}{\left( {\frac{{{l_1}}}{{r_1^4}} + \frac{{{l_2}}}{{r_2^4}}} \right)^{ - 1}}) is correct because it represents the combined resistance to flow in series.

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