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  4. 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

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Q. The angle of contact between glass and water is $0^{\circ}$ 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 $60^{\circ}$ and relative density $2$ will rise in the same capillary up to

Mechanical Properties of Fluids

Solution:

$\frac{h_{2}}{h_{1}}=\frac{\sigma_{2} \cos \theta_{2}}{\rho_{2}} \times \frac{\rho_{1}}{\sigma_{1} \cos \theta_{1}}$
or $\frac{h_{1}}{h_{2}}=\frac{140 \times \frac{1}{2}}{2} \times \frac{1}{70 \times 1}$
or $h_{2}=\frac{h_{1}}{2}=\frac{6}{2} cm =3\, cm$