Properties Of Solids And Liquids Question 169

Question: Water rises in a capillary tube when its one end is dipped vertically in it, is 3 cm. If the surface tension of water is$ 75\times {{10}^{-3}}N/m $ , then the diameter of capillary will be[MP PET 1989]

Options:

A) 0.1 mm

B) 0.5 mm

C) 1.0 mm

D) 2.0 mm

Show Answer

Answer:

Correct Answer: C

Solution:

$ T=\frac{rh\rho g}{2}\Rightarrow 75\times {{10}^{-3}}=\frac{3\times {{10}^{-2}}\times r\times 10^{3}\times 9.8}{2} $

$ \Rightarrow r=\frac{1}{2}mm $

$ \therefore D=2r=1\ mm $



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