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Q.

Two capillary tubes made of same material having radii r and 2r are vertically dipped in the same liquid. Then due to capillary rise

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a

masses of water due to capillary rise in the tubes will be the same

b

capillary rise in the tubes are same

c

masses of water in the tubes are in the ratio 1:2

d

capillary rise in the tubes are in the ratio 1:2

answer is C.

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Detailed Solution

Capillary rise h=2Tcosθρrg⇒h∝lrMass of water in the tube, m=πr2.h.ρ=πr22Tcosθρrg.ρ=2πTrcosθgFor same material of tube and same liquid, angle of contact is the same. Therefore m∝rRatio of capillary rise, h1:h2=2:1
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