Properties Of Solids And Liquids Question 187

Question: If water rises in a capillary tube upto 3 cm. What is the diameter of capillary tube (Surface tension of water$ =7.2\times 10^{2}N/m $ ) [RPMT 2002]

Options:

A) $ 9.6\times 10^{4}m $

B)$ 9.6\times 10^{3}m $

C)$ 9.6\times 10^{2}m $

D)$ 9.6\times 10^{1}m $

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Answer:

Correct Answer: A

Solution:

$ \ h=\frac{2T\cos \theta }{rdg} $ , for water $ \theta =0{}^\circ $

therefore $ r=\frac{2T}{hdg}=\frac{2\times 7.2\times {{10}^{-2}}}{3\times {{10}^{-2}}\times 10^{3}\times 10}=4.8\times {{10}^{-4}} $ \ $ d=2r=9.6\times {{10}^{-4}}m $



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