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Q.

Two capillary of length L and 2L and of radius R and 2R are connected in series. The net rate of flow of fluid through them will be (given rate of the flow through single capillary, X=πPR4/8ηL)

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a

89X

b

98X

c

57X

d

75X

answer is A.

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Detailed Solution

Fluid resistance is given by R=8ηlπr4.When two capillary tubes of same size are joined in parallel, then equivalent fluid resistance is  Re=R1+R2=8ηLπr4+8η×2Lπ(2R)4=8ηLπr4×98Equivalent resistance becomes 98 times so rate of flow will be  89X
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Two capillary of length L and 2L and of radius R and 2R are connected in series. The net rate of flow of fluid through them will be (given rate of the flow through single capillary, X=πPR4/8ηL)