A metallic wire of density d floats horizontal in water. The maximum radius of the wire such that it may not sink, will be (surface tension of water =T)
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a
2Tπdg
b
2πTdg
c
2πTdg
d
dg2πT
answer is A.
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Detailed Solution
The upward force due to surface tension must be equal to the weight of the wire. Hence2Tlcosθ=mg=πr2ldg or 2T=πr2dg ∵ θ=0∘ ∴ r=2Tπdg