Properties of matterMedium
Question
Surface tension of two liquids (having same densities), $T_{1}$ and $T_{2}$, are measured using capillary rise method utilizing two tubes with inner radii of $r_{1}$ and $r_{2}$ where $r_{1} > r_{2}$. The measured liquid heights in these tubes are $h_{1}$ and $h_{2}$ respectively. [Ignore the weight of the liquid about the lowest point of miniscus]. The heights $h_{1}$ and $h_{2}$ and surface tensions $T_{1}$ and $T_{2}$ satisfy the relation :
Options
A.$h_{1} < h_{2}$ and $T_{1} = T_{2}$
B.$h_{1} = h_{2}$ and $T_{1} = T_{2}$
C.$h_{1} > h_{2}$ and $T_{1} = T_{2}$
D.$h_{1} > h_{2}$ and $T_{1} < T_{2}$
Solution
$h = \frac{2T}{\rho gr}$
$$h \propto \frac{1}{r} $$If $r_{1} > r_{2} \Rightarrow {\text{ }h}_{2} > h_{1}$
Create a free account to view solution
View Solution FreeMore Properties of matter Questions
When the capillary is inclined at angle 30o and 60o with the vertical, the lengths of liquid columns inside the capillar...Water rises upto a height h in a capillary on the surface of earth in stationary condition. Value of h increases if this...At which temperature, surface tension of water will be minimum -...A soap bubble in vacuum has a radius 3cm and another soap bubble in vacuum has radius 4cn. If two bubbles coalesce under...How much force is required to produce an increase of 0.2% in the length of a brass wire of diameter 0.6 mm ? [Young̸...