JEE Main · 2023 · 30 Jan 2023 · Shift 1 · Fluid Mechanics

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

(A)0.20
(B)0.5
(C)0.05✓ Correct
(D)0.10

Answer: (C)

Solution

The rise in a capillary follows

h = \frac{2 S cos θ}{r ρ g}

, so in the same tube the height varies as

\frac{S}{ρ}

. Passing from liquid A to liquid B both the surface tension and the density double, leaving their ratio unchanged, so the column height does not change. The liquid in B therefore rises to

5 cm = 0.05 m

JEE Main · 2023 · 30 Jan 2023 · Shift 1 · Single correct option

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