The height of liquid column raised in a capillary tube of certain… | MHT CET 2023 (10 May, Shift 1)

Q42MHT CET 2023 · 10 MAY · 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 (Assume angle of contact same)

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Answer: (c)

Capillary rise $h = \frac{2T\cos\theta}{r\rho g} \propto \frac{T}{\rho}$ for the same tube and same $\theta$ .
Both $T$ and $\rho$ double, so $\frac{T}{\rho}$ is unchanged: $h_B = h_A = 5\text{ cm}$ .
So the answer is (c) $0.05\text{ m}$ .

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Angle of Contact & Capillarity question from MHT CET 2023 (10 May, Shift 1)

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