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Q.

Liquid rises to a height of 2 cm in a capillary tube and the angle of contact between the solid and theliquid is zero. If the tube is depressed more now, so that top of capillary is only 1 cm above the liquid,then the apparent angle of contact between the solid and the liquid is

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a

00

b

300

c

600

d

900

answer is C.

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Detailed Solution

If a liquid can rise to a height h, but the tube has insufficient height h', then the angle of contact increases from θ to θ' given by hcos⁡θ=h′cos⁡θ′Here, h=2cm, h'=1cm, θ=00∴ 2cos⁡0∘=1cos⁡θ'⇒ 21=1cos⁡θ'or cos⁡θ'=12⇒ θ'=60∘

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Liquid rises to a height of 2 cm in a capillary tube and the angle of contact between the solid and theliquid is zero. If the tube is depressed more now, so that top of capillary is only 1 cm above the liquid,then the apparent angle of contact between the solid and the liquid is