Verified Solution • 2025–26 Session moderate

QJEEM23Ph2428: JEE Main 2023 Physics - Class 11 JEEM23Ph2428 Solution: The height of liquid column raised in a capillary tube of…

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, 5 cm5 \mathrm{~cm} . If the tube is dipped in a similar manner in another liquid B\mathrm{B} of surface tension and density double the values of liquid A\mathrm{A} , the height of liquid column raised in liquid B\mathrm{B} would be __________ m.

Multiple Choice Options

  • A 0.05
  • B 0.2
  • C 0.5
  • D 0.1

Step-by-Step Verified Solution

height of capillary rise =2scos⁡θρgR= {{2s\cos \theta } \over {\rho gR}}

When in A 5 cm =2sAcos⁡θρAgR= {{2{s_A}\cos \theta } \over {{\rho _A}gR}}

When in B h=2sBcos⁡θρBgRh = {{2{s_B}\cos \theta } \over {{\rho _B}gR}}

sB=2sA{s_B} = 2{s_A} and ρB=2ρA{\rho _B} = 2{\rho _A}

h=2×2sA×cos⁡θ2ρAgR=5h = {{2 \times 2{s_A} \times \cos \theta } \over {2{\rho _A}gR}} = 5 cm

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