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Q.

Three liquids of densities ρ1,ρ2 and ρ3 (with ρ1,ρ2 > ρ3), having the same value of surface tension T, rise to the same height in three identical capillaries. The angles of contactθ1,θ2 and θ3 obey

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a

0θ1<θ2<θ3<π2

b

π2<θ1<θ2<θ3<π

c

π>θ1>θ2>θ3>π2

d

π2>θ1>θ2>θ30

answer is B.

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Detailed Solution

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The height of liquid raised in a capillary is given by h=2Tcosθrρg
where T is surface tension, θ is angle of contact, r is radius, ρ is density.
Givenhforρ1,ρ2,ρ3are equal
(whereρ1>ρ2>ρ3)
 T is also same
cosθρ
forθ(0,π2)
θ1<θ2<θ3

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