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Tower end of a capillary tube is dipped in water and capillary rise in the tube is found to be h. If the radius of the capillary tube is halved and the whole set up is made to move vertically upward with acceleration ‘g’, the new capillary rise in the tube will be

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a

h2

b

h

c

2 h

d

h/4

answer is B.

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Detailed Solution

In the first case, h=2TρrgIn the second case, surface tension force on the top of water column = Weight of water column + Pseudo force ⇒2π(r2)T=π(r2)2h1.ρg+π(r2)2.h1.ρ.g⇒h1=2Tρrg=h

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Tower end of a capillary tube is dipped in water and capillary rise in the tube is found to be h. If the radius of the capillary tube is halved and the whole set up is made to move vertically upward with acceleration ‘g’, the new capillary rise in the tube will be