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When a wire of length l and crosssectional radius r(r<<l) is kept floating on surface of a liquid. Find maximum radius of wire so that it may not sink. surface tension of liquid is T.

Option: 1

\sqrt{\frac{T}{\pi \rho g}}


Option: 2

\sqrt{\frac{3T}{\pi \rho g}}


Option: 3

\sqrt{\frac{2T}{\pi \rho g}}


Option: 4

\sqrt{\frac{T}{2\pi \rho g}}


Answers (1)

best_answer

\text { Use, } \quad m g=2 T l

Where, T = surface Tension and \ l = Length of the wire

\left(\rho \pi r^2 l\right) g=2 T l

r=\sqrt{\frac{2 T}{\pi \rho g}}

 

Posted by

seema garhwal

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