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Question

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 :

A
1:3
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B
3:1
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C
4:9
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D
9:4
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Solution

The correct option is C 4:9

From poiseullies eqn,Q=πpr48ηL
According to Question,89=24×η234×η12
η1:η2=9×2232×8=49


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