Basic Maths and Units and DimensionsHard

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 caillary tube of radius 2r i s immersed in water. The mass of water that will rise in this tube is : -

Options

A.2.5 g
B.5.0 g
C.10 g
D.20 g

Solution

Weight of rise liquid = 2πrT cosθ
mg = 2πrT cosθ ∝ m ∝ r
⇒ = 2
⇒  m2 = 2m1 = 2 × 5g = 10g.

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