A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of water in the capillary tube is 5 g. Another capillary tube of radius 2r is immersed in water. The mass of water that will rise in this tube is

Question

A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of water in the capillary tube is 5 g. Another capillary tube of radius 2r is immersed in water. The mass of water that will rise in this tube is, 2.5 g, 5.0 g, 10 g, 20 g

MARKS App · Accepted Answer

Height of liquid in column is h = 2 T cos ⁡ θ r ρ g ∴ M a s s o f l i q u i d i n c o l u m n = π 2 h ρ ∴ M a s s = v o l u m e × d e n s i t y ∴ m = π r 2 2 T cos ⁡ θ r ρ g ρ ∴ m = 2 π T cos ⁡ θ g r ∴ m ∝ r o r m 1 m 2 = r 1 r 2 o r 5 m 2 = r 2 r o r m 2 = 10 g

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