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Water rises to a height of 10cm in a cer...

Water rises to a height of `10cm` in a certain capillary tube. An another identical tube when dipped in mercury is depressed by `3.42 cm`.Density of mercury is `13.6 g//c c`.The angel of contact for water in contact with glass is `0^(@)` and mercury in contact with glass is `135^(@)`. The ratio of surface tension of water to that of `Hg` is

A

`1 : 0.15`

B

` 1:3`

C

` 1: 6.5`

D

` 1 .5 :1 `

Text Solution

Verified by Experts

` h = (2T cos theta )/(r rho g) `
or ` T = (hr rho g)/(2 cos theta )`
or `T prop (hp)/(cos theta ) `
`(T_(w))/(T_(Hg)) = (h_(1))/(h_(2)) xx (cos theta_(2))/(cos theta _(1)) xx (rho_(1))/(rho_(2))`
Putting the values , we obtain `1 : 6.5 `
Hence (C ) is correct
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