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  • A stress of  is required for breaking a material. if the deensity of the material is <img a

A stress of  10^6N/m^2is required for breaking a material. if the deensity of the material is 3\times 10^3Kg/m^3. What should be the length of the wire made of this material so that it breaks under its own weight.

 

Option: 1

 10 m


Option: 2

3.33 m


Option: 3

10 cm


Option: 4

40 m


Answers (1)

best_answer

\frac{m g}{A}=\text { maximum breaking stress. }

or \ \frac{(A l \rho) g}{A}=\sigma_{\max } \\ \therefore \quad l_{\text {max }}=\frac{\sigma_{\text {max }}}{\rho g}

\begin{aligned} l_{\max }=\frac{10^6}{\left(3 \times 10^3\right) 10} & =3.33 \times 10^{\circ} \\ & =3.33 \mathrm{~m} \end{aligned}

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Ritika Harsh

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