Question

A metallic wire of density r floats horizontal in water. The maximum radius of the wire sothat the wire may not sink will be : (surface tension of water = T and angle of contact q = 0⁰)–

• A. $\sqrt{\frac{2T}{\pi\rho g}}$
• B. $\sqrt{\frac{4T}{\rho g}}$
• C. $\sqrt{\frac{T}{\pi\rho g}}$
• D. $\sqrt{\frac{T\rho}{\pi g}}$

Answer 1

Answer: (A)

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

Answer 2

2Tl cos q = mg = pr²lrg

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