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JEE Main 202330 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2023 · 30 January · Morning Shift · Physics · Mechanical Properties of Fluids

The height of liquid column raised in a capillary tube of certain...

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid AA vertically is, 5cm5cm. If the tube is dipped in a similar manner in another liquid BB of surface tension and density double the values of liquid AA, the height of liquid column raised in liquid B would be ______ mm.

Options

  1. A0.200 . 20
  2. B0.50 . 5
  3. C0.050 . 05
  4. D0.100 . 10

Correct answer

C. 0.050 . 05

Step-by-step solution

The height hh through which a liquid will rise in a capillary tube of radius rr is given by,

h=2Tcosθrρg∝Tρ∝2T2ρh = \dfrac{2Tcos\theta}{rρg} ∝ \dfrac{T}{ρ} ∝ \dfrac{2T}{2ρ}

As we can see in both cases, value of height will remain same. Therefore,

h′=h=5cm=0.05m{h}^{'} = h = 5cm = 0 . 05m

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