Properties Of Solids And Liquids Question 163

Question: Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by $ 75\times {{10}^{-4}}N $ force due to the weight of the liquid. If the surface tension of water is $ 6\times {{10}^{-2}}N{{m}^{-1}} $ , the inner circumference of the capillary must be[CPMT 1988, 86]

Options:

A) $ 1.25\times {{10}^{-2}}m $

B)$ 0.50\times {{10}^{-2}}m $

C) $ 6.5\times {{10}^{-2}}m $

D) $ 12.5\times {{10}^{-2}}m $

Show Answer

Answer:

Correct Answer: D

Solution:

$ 6\times {{10}^{-2}}\times $ Circumference = Force

$ \therefore $ Circumference $ =\frac{75\times {{10}^{-4}}}{6\times {{10}^{-2}}}=12.5\times {{10}^{-2}}m $



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