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
Tcosθxd
b
2Tcosθxdg
c
2Txdgcosθ
d
Tcosθxdg
answer is B.
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Detailed Solution
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 = 2Tbcosθ …(i)Weight of the liquid rises in between the plates = Vdg=(bxh)dg …(ii)Equating (i) and (ii) we get , 2Tcosθ=bxhdg ∴h=2Tcosθxdg
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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