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Q.

Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by 75 x 10-4 newton force due to the weight of the liquid. If the surface tension of water is 6×10-2 newton/metre the inner circumference of the capillary must be:

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a

1.25×10-3 metre

b

0.50×10-2 metre

c

6.5×10-2 metre

d

12.5×10-2 metre

answer is D.

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Detailed Solution

Upward force due to surface tension,Fu = (2πR)×Twhere, 2πR --> Circumference of tubeFu = (2πR)×T,Because, surface tension is force per unit length.⇒75×10-4 = (2πR)×6×10-2∴ (2πR) = 75×10-46×10-2 = 12.5×10-2 m
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