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Question

Due to capillary action, a liquid will rise in a tube if angle of contact is


A
acute
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B
obtuse
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C
900
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D
zero
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Solution

The correct option is A acute
According to ascent formula the height/depth $$h$$ through which a liquid will rise/fall in a capillary tube of radius $$r$$  is given by  $$h = \dfrac{2S \cos\theta}{ r \rho g}$$
where $$S$$ is the surface tension, $$\rho$$ is the density of the liquid and $$\theta$$ is the angle of contact.
If $$\theta<90^o \Rightarrow \cos \theta >0 \Rightarrow h>0 \Rightarrow $$ The liquid will rise when contact angle is acute. 
If $$\theta>90^o \Rightarrow \cos \theta <0 \Rightarrow h<0 \Rightarrow $$ The liquid will fall when contact angle is obtuse. 

Physics

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