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Mercury has an angle of contact equal to...

Mercury has an angle of contact equal to `140^(@)` with soda lime galss. A narrow tube of radius `1.00mm` made of this glass is dipped in a through containing mercury. By what amount does the mercury dip down in the tube relative to the mercury surface outside? Surface tension of mercury at the temperature of the experiment is `0.465 Nm^(-1)`. Density of mercury = `13.6xx10^(3) kg m^(-3)`.

Text Solution

Verified by Experts

Radius of the tube `=1 xx 10^(-3)m, theta=140^(@)`
`h=(2T cos theta)/(rpg)`
`=(2 xx 0.465 xx cos 140^(@))/(1 xx 10^(-3) xx 13.6 xx 10^(3) xx 9.8)`
`=-(0.2 xx 0.465 xx 0.766)/(13.6 xx 9.8)`
`=-5.34 xx 10^(-3) m`
Negative sign indicates that the amount of mercury is depressed by `5.34 xx 10^(-3) m` or by 5.34 mm.
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