Fluid Mechanics Viscosity Question 324

Question: Radius of a capillary is$ 2\times {{10}^{-3}}m $ . A liquid of weight $ 6.28\times {{10}^{-4}}N $ may remain in the capillary then the surface tension of liquid will be

Options:

A) $ 5\times {{10}^{-3}}N/m $

B) $ 5\times {{10}^{-2}}N/m $

C) $ 5N/m $

D) $ 50N/m $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ W=mg=\rho (\pi r^{2}h)g $ $ or,,,W\simeq \rho (\pi r^{2})\times \left( \frac{2T}{\rho rg} \right)g,,,,or,,W=2\pi rT $ $ \therefore ,,,T=\frac{W}{2\pi r}=\frac{6.28\times 10^{4}}{2\pi \times 2\times {{10}^{-3}}}=5\times {{10}^{-2}}N/m $