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Q.

Two parallel glass plates are dipped partly in the liquid of density 'd' keeping them vertical. If the distance between the plates is 'x', surface tension for liquids is T and angle of contact is θ then rise of liquid between the plates due to capillary will be

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a

Tcosθxdg

b

2Txdgcosθ

c

2Tcosθxdg

d

Tcosθxd

answer is B.

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Detailed Solution

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Let the width of each plate is b and due to surface tension, liquid will rise upto height h. Then upward force due to surface tension = 2Tb cosθ….(i)

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weight of the liquid that rises in between the plates

=Vdg=(bxh)dg

 Equating (i) and (ii), we get 2Tcosθ=bxhdg

h=2Tcosθxdg

 

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