Three liquids of densities 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-

Question

Three liquids of densities 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- (A) (π/2) > θ1 > θ2 > θ3 ≥ 0 (B) 0 ≤ θ1 < θ2 < θ3 < (π/2) (C) (π/2) < θ1 < θ2 < θ3 < π (D) π > θ1 > θ2 > θ3 > (π/2)

Tardigrade Admin · Accepted Answer

h = (2T cosθc/r ρ g) = same cos θc propto ρ ρ1 > ρ2 > ρ3 cosθ c1 > cos θ c2 > cos θc3 0 le θc1 < θc2 < θc3 < (π/2)

Q. Three liquids of densities having the same value of surface tension $T$ , rise to the same height in three identical capillaries. The angles of contact $θ_{1}, θ_{2}$ and $θ_{3}$ obey-

$\frac{π}{2} > θ_{1} > θ_{2} > θ_{3} \geq 0$

$0 \leq θ_{1} < θ_{2} < θ_{3} < \frac{π}{2}$

$\frac{π}{2} < θ_{1} < θ_{2} < θ_{3} < π$

$π > θ_{1} > θ_{2} > θ_{3} > \frac{π}{2}$

$h = \frac{2 T c o s θ _{c}}{r ρ g} =$ same
$cos θ_{c} \propto ρ$
$ρ_{1} > ρ_{2} > ρ_{3}$
$cos θ c_{1} > cos θ c_{2} > cos θ_{c_{3}}$
$0 \leq θ_{c_{1}} < θ_{c_{2}} < θ_{c_{3}} < \frac{π}{2}$

Q. Three liquids of densities 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-

2π​>θ1​>θ2​>θ3​≥0

0≤θ1​<θ2​<θ3​<2π​

2π​<θ1​<θ2​<θ3​<π

π>θ1​>θ2​>θ3​>2π​