A metal wire of density `rho` floats on water surface horozontally. If is NOT to sink in water, then maximum radius of wire is proportional to (where, T=surface tension of water, g=gravitational acceleration)

Options

A. `sqrt((T)/(log ))`
B. `sqrt((pirhog)/(T))`
C. `(T)/(pirhog)`
D. `(pirhog)/(T)`

Answer

D

Explanation

`v_(c) =1/4 v_(e)`
`sqrt((GM)/((R+h)))=1/4 sqrt((2GM)/((R+h)))`
`(GM)/((R+h))=1/16 xx(2GM)/((R+h))`
`R +h =8(R)`
`R+h =8R`
`7R =h`