Q.

The rate of steady volume flow of water through a capillary tube of length ‘l’ and radius ‘r’ under a pressure difference of P is V. This tube is connected with another tube of the same length but half the radius in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is P)

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a

V16

b

V17

c

16V17

d

17V16

answer is B.

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Detailed Solution

R1=8ηlπr4=R R2=8ηlπr24=16R  when both are connected in series  Volume rate =V2=ΔPR1+R2=PR+16R=P17R=V17
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The rate of steady volume flow of water through a capillary tube of length ‘l’ and radius ‘r’ under a pressure difference of P is V. This tube is connected with another tube of the same length but half the radius in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is P)