A glass rod of radius r1 is inserted symmetrically into a vertical capillary tube of radius r2 such that their lower ends are at same level. The arrangement is now dipped in water the height to which water will enter into the tube (σ =surface tension, ρ = density of water)
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a
2σr2−r1ρg
b
σr2−r1ρg
c
2σr2+r1ρg
d
2σr22+r12ρg
answer is A.
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Detailed Solution
Total upward force = Weight of liquid column.T2πr1+2πr2=πr22h−πr12hρg⇒h=2Tr2−r1ρg