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Capillary rise of a liquid of density ρ and surface tension T in a tube of radius r is h. What will be the capillary rise of a liquid of density ρ2 and surface tension 2T in a capillary tube of radius 2r. For the first liquid angle of contact is 45o and for the second liquid it is 60o.

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a

2h

b

2h

c

h2

d

22h

answer is B.

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Detailed Solution

h=2Tcosθρrg∴h'h=T'Tcosθ'cosθρρ'rr'=2 x cos60ocos45o x 2 x 12=2⇒h'=2h

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Capillary rise of a liquid of density ρ and surface tension T in a tube of radius r is h. What will be the capillary rise of a liquid of density ρ2 and surface tension 2T in a capillary tube of radius 2r. For the first liquid angle of contact is 45o and for the second liquid it is 60o.