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when a wire of length l  and cross sectional 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 \frac{T}{4}.

 

Option: 1

T


Option: 2

\frac{T}{2}


Option: 3

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


Option: 4

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


Answers (1)

best_answer

\begin{aligned} & M g=2 \frac{T}{4} \cdot l=\frac{T l}{2} \\ & \rho\left(\pi r^2 l\right) g=2 \cdot \frac{T}{4} \cdot l=\frac{T l}{2} \\ & \rho\left(\pi r^2\right) g=\frac{T}{2} \Rightarrow r=\sqrt{\frac{T}{2 \rho \pi} g} \end{aligned}

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vishal kumar

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