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  • The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, 5 cm. If the tube is dipped in a similar manner in another liquid B of surface tensio

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, 5 cm. If the tube is dipped in a similar manner in another liquid B of surface tension and density double the values of liquid A, the height of liquid column raised in liquid B would be m

Option: 1

0.05


Option: 2

0.10


Option: 3

0.20


Option: 4

0.5


Answers (1)

best_answer

\begin{aligned} & \mathrm{h}=\frac{2 \mathrm{~T} \cos \theta}{\mathrm{r} \rho \mathrm{g}} \\ & \mathrm{h} \propto \frac{\mathrm{T}}{\rho} \\ & \frac{\mathrm{h}_2}{\mathrm{~h}_1}=\frac{\mathrm{T}_2}{\mathrm{~T}_1} \times \frac{\rho_1}{\rho_2} \\ & \frac{\mathrm{h}_2}{5 \mathrm{~cm}}=\frac{2 \mathrm{~T}}{\mathrm{~T}} \times \frac{\rho}{2 \rho}=1 \\ & \mathrm{~h}_2=5 \mathrm{~cm}=0.05 \mathrm{~m} \end{aligned}

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