The breaking stress of steel is 7.9 × 109 Nm–2 and density of steel is 7.9 × 103 kgm–3 and g = 10ms–2. The maximum length of steel wire that can hang vertically without breaking is

S = 7.9 x 109 N / m2 , ρ = 7.9 x 103 kgm–3 g = 10m / s2 p = ?S=FA=mgA=ρvgA ; S=ρAl x gA=ρlg ; l=7.9 x 1097.9 x 103 x 10=105m

The breaking stress of steel is 7.9 × 109 Nm–2 and density of steel is 7.9 × 103 kgm–3 and g = 10ms–2. The maximum length of steel wire that can hang vertically without breaking is

S = 7.9 x 109 N / m2 , ρ = 7.9 x 103 kgm–3 g = 10m / s2 p = ?S=FA=mgA=ρvgA ; S=ρAl x gA=ρlg ; l=7.9 x 1097.9 x 103 x 10=105m

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The breaking stress of steel is 7.9 × 10⁹ Nm^–2 and density of steel is 7.9 × 10³ kgm^–3 and g = 10ms^–2. The maximum length of steel wire that can hang vertically without breaking is

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10² m

10³ m

10⁴ m

10⁵ m

answer is D.

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Detailed Solution

S = 7.9 x 10⁹ N / m² , $ρ$ = 7.9 x 10³ kgm^–3
g = 10m / s² p = ?
$S = \frac{F}{A} = \frac{mg}{A} = \frac{ρvg}{A}; S = \frac{ρAl x g}{A} = ρlg; l = \frac{7.9 x 10^{9}}{7.9 x 10^{3} x 10} = 10^{5} m$

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