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Q.

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. Hence2Tlcos⁡θ=mg=πr2ldg or  2T=πr2dg ∵ θ=0∘ ∴ r=2Tπdg
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