A capillary tube of radius 0.2 mm is made by joining capillaries T₁ and T₂ of materials having contact angles 0° and 60°. The tube is dipped in water in two orientations as shown. Surface tension is 0.075 N m⁻¹, density 1000 kg m⁻³ and g = 10 m s⁻². Select the correct statements. Image
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Question

A capillary tube of radius 0.2 mm is made by joining capillaries T₁ and T₂ of materials having contact angles 0° and 60°. The tube is dipped in water in two orientations as shown. Surface tension is 0.075 N m⁻¹, density 1000 kg m⁻³ and g = 10 m s⁻². Select the correct statements. Image

Select all that apply

G1 Physics · Accepted Answer

Step 1: Use surface-energy/pressure relations: ΔP = 2T/R for a liquid drop or 4T/R for a soap bubble, capillary rise h = 2T cosθ/(ρgr), and surface energy = TΔA. Step 2: Apply force or energy balance to the stated radii and surface areas. Applying these relations to the given data gives A: The correction in the height of water column raised in the tube, due to weight of water contained in the meniscus, will be different for both cases.; C: For case I, if the joint is kept at 8 cm above the wate…