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Question

A ring is cut from a platinum tube having 8.5cm internal and 8.7cm external diameter. It is supported horizontally from a pair of a balance so that it comes in contact with the water in glass vessel. If an extra 3.97g weight is required to pull it away from water, the surface tension of water is

A
72.07dynecm1
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B
70.80dynecm1
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C
65.35dynecm1
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D
60.00dynecm1
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Solution

The correct option is B 72.07dynecm1
Total force on the ring due to surface tension is given by F=T(2πr1+2πr2), where T is surface tension of water, and r1 and r2 are inner and outer radii of the ring.
T=Fπ(2r1+2r2)
T=3.97×980π(8.5+8.7) excess weight is compensated by surface tension force
T=3.97×980(227)×17.2=72.00dyne/cm

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