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Q.

An open capillary tube is lowered in a vessel with mercury. The difference between the levels of the mercury in the vessel and in the capillary tube ∆h = 4.6 mm. What is the radius of curvature of the mercury meniscus in the capillary tube? Surface tension of mercury is 0.46 N/m, density of mercury is 13.6 gm/cc.

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a

1340m

b

1680m

c

11020m

d

Information insufficient

answer is B.

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Detailed Solution

∆h = 2S cos θrρg = 2SRρg⇒R = 2S∆hρg=2×0.464.6×10-3×13.6×103×10=1680m
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An open capillary tube is lowered in a vessel with mercury. The difference between the levels of the mercury in the vessel and in the capillary tube ∆h = 4.6 mm. What is the radius of curvature of the mercury meniscus in the capillary tube? Surface tension of mercury is 0.46 N/m, density of mercury is 13.6 gm/cc.