A metal wire of density ‘ρ’ floats on water surface horizont... | Physics | SolveeIt | Solveeit

Today, August 19

Question

A metal wire of density ‘ρ’ floats on water surface horizontally. If it is NOT to sink in water, then maximum radius of wire is (T = surface tension of water, g = gravitational acceleration)

A

$\sqrt {\frac {πρg}{T}}$

B

$\frac {T}{πρg}$

C

$\frac {πρg}{T}$

D

$\sqrt{\frac {T}{πρg}}$

Answer

$\sqrt{\frac {T}{πρg}}$

Explanation

Solution

For floating of wire
mg = Tl
And Vρg = Tl
πr2lρg = Tl
r2 = $\frac {Tl}{πlρg}$
r2 = $\frac {T}{πρg}$
r = $\sqrt{\frac {T}{πρg}}$