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An open cappillary tube contains a drop ...

An open cappillary tube contains a drop of water. The internal diameter of the capillary tube is `1mm`. Daternube tge radii if curvature of the upper and lower meniscuses in each case. Consider the wetting to be complete. Surface tension of water `= 0.073 N//m`. `(g = 9.8 m//s^(2))`
When the tube is in its vertical position, the drop froms a column witha length of `2.98 cm`.

A

`0.5 mm, 1.52 mm`

B

`0.5 mm, 1.46 mm`

C

`0.5 mm`, lower surface will be flat

D

`0.4 mm, 1.46 mm`

Text Solution

Verified by Experts

The correct Answer is:
C

As the wetting is complete. So upper meniscus radius will be
same as radius of capillry in all cases. `r_(4) = (r_("capillary"))/(2) = 0.5 mm`.
Now `(a)`
`Fs = T xx 2 pirl`.
so balancing forces in vertical direction.
`rho xx (pir_(c)^(2) xx h)xx g = T xx 2pir_(1) + T xx 2pir_(c)`.
get `r_(1) = (rhohgr_(c)^(2))/(2T) - r_(c)`
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