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JEE Main 2023 (30 Jan, Shift 1) · Angle of Contact & Capillarity

Angle of Contact & Capillarity question from JEE Main 2023 (30 Jan, Shift 1)

Q43JEE Main 2023 · 30 JAN · SHIFT 1Easy

Angle of Contact & Capillarity

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, $5\text{ cm}$ . 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.

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Answer: (a)

$h = \frac{2T\cos\theta}{r\rho g} \propto \frac{T}{\rho}$ for the same tube.
For B: $\frac{T_B}{\rho_B} = \frac{2T_A}{2\rho_A} = \frac{T_A}{\rho_A}$ , so $h_B = h_A = 5\text{ cm}$ .
So the answer is (a) $0.05\text{ m}$ .

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