A metal wire of density $^{'} ρ^{'}$ floats on water surface horizontally. If it is NOT to sink in water the maximum radius of wire is proportional to

\sqrt{\frac{T}{π ρ g}}

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\sqrt{\frac{π ρ g}{T}}

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\frac{T}{π ρ g}

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\frac{π ρ g}{T}

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Solution

The correct option is B $\sqrt{\frac{T}{π ρ g}}$
For, maximum radius, the where should be just touching horizontally.

For net zero force:-
$W = F_{S}$ where W=weight and $F_{S}$ =tension force upward

$⟹ π r^{2} L ρ g = L T$

$⟹ r = \sqrt{\frac{T}{π ρ g}}$

Hence, the answer is option-(A).

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A metal wire of density ′ρ′ floats on water surface horizontally. If it is NOT to sink in water the maximum radius of wire is proportional to

The correct option is B √TπρgFor, maximum radius, the where should be just touching horizontally.For net zero force:-W=FS where W=weight and FS=tension force upward⟹πr2Lρg=LT⟹r=√TπρgHence, the answer is option-(A).

A metal wire of density $^{'} ρ^{'}$ floats on water surface horizontally. If it is NOT to sink in water the maximum radius of wire is proportional to