Three liquids of densities, ρ 1 , ρ 2 and ρ 3 (with, ρ 1 > ρ 2 > ρ 3 ) , having the same value of…

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 contact, θ1, θ2 and θ3 obey
  1. π2>θ1>θ2>θ30
  2. 0θ1<θ2<θ3<π2
  3. π2<θ1<θ2<θ3<π
  4. π>θ1>θ2>θ3>π2

Solution

h=2Tcosθrρg.

ρcosθ (as T, hand r are constants).

Therefore, ρθ.

θ1<θ2<θ3

The liquid is rising, so, 0θ1<θ2<θ3<π2.

.

Asked in: NEET 2016 (Phase 2)

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