The angle of contact between glass and water is 0° and water (surface tension 70 dyn / cm ) rises in a glass capillary up to 6 cm. Another liquid of surface tension 14 dyn / cm, angle of contact 60° and relative density 2 will rise in the same capillary up to

Question

The angle of contact between glass and water is 0° and water (surface tension 70 dyn / cm ) rises in a glass capillary up to 6 cm. Another liquid of surface tension 14 dyn / cm, angle of contact 60° and relative density 2 will rise in the same capillary up to (A) 12 cm (B) 24 cm (C) 3 cm (D) 6 cm

Tardigrade Admin · Accepted Answer

(h2/h1)=(σ2 cos θ2/ρ2) × (ρ1/σ1 cos θ1) or (h1/h2)=(140 × (1/2)/2) × (1/70 × 1) or h2=(h1/2)=(6/2) cm =3 cm

Q. The angle of contact between glass and water is $0^{\circ}$ and water (surface tension $70 d y n / c m$ ) rises in a glass capillary up to $6 c m$ . Another liquid of surface tension $14 d y n / c m$ , angle of contact $6 0^{\circ}$ and relative density $2$ will rise in the same capillary up to

12 cm

24 cm

3 cm

6 cm

$\frac{h _{2}}{h _{1}} = \frac{σ _{2} c o s θ _{2}}{ρ _{2}} \times \frac{ρ _{1}}{σ _{1} c o s θ _{1}}$
or $\frac{h _{1}}{h _{2}} = \frac{140 \times \frac{1}{2}}{2} \times \frac{1}{70 \times 1}$
or $h_{2} = \frac{h _{1}}{2} = \frac{6}{2} c m = 3 c m$

Q. The angle of contact between glass and water is 0∘ and water (surface tension 70dyn/cm ) rises in a glass capillary up to 6cm. Another liquid of surface tension 14dyn/cm, angle of contact 60∘ and relative density 2 will rise in the same capillary up to