16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T4eb,{"@context":"https://schema.org","@type":"Quiz","name":"Mht Cet 2025 Fluid Mechanics PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/mht-cet/questions/2025/physics/fluid-mechanics/mf18eqto","educationalLevel":"Entrance exam preparation","about":"Mht Cet / Physics / Fluid Mechanics","hasPart":{"@type":"Question","name":"Mht Cet 2025 Fluid Mechanics PYQ with Solution","text":"Water rises in a capillary tube of radius r upto { }^2 height h . The mass of water in a capillary is m. The mass of water that will rise in capillary of radius \\frac{\\mathrm{r}}{5} will be","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"A"},"comment":{"@type":"Comment","text":"Step 1: Formula for capillary rise The relation for capillary rise h is h = \\frac{2T \\cos\\theta}{\\rho g r}, where T = surface tension, \\theta = angle of contact, \\rho = liquid density, g = gravity, r = radius of the tube. So, height of rise is \\propto \\frac{1}{r}. Step 2: Volume and mass of liquid in the capillary The volume of the liquid column is V = \\pi r^2 h. So, the mass inside the capillary is m = \\rho V = \\rho \\pi r^2 h. Substitute h = \\tfrac{k}{r}, where k = \\tfrac{2T\\cos\\theta}{\\rho g}..."}}}18:T4b8,

Step 1: Formula for capillary rise

The relation for capillary rise $h$ is

$ h = \frac{2T \cos\theta}{\rho g r}, $

where

$T$ = surface tension,
$\theta$ = angle of contact,
$\rho$ = liquid density,

Fluid Mechanics

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