Question

A stress of `10^(6) Nm^(-2)` is required for breaking a material. If the density of the material is `3 xx 10^(3) kg m^(-3)`., then what should be the length of the wire made of this material, so that it breakes under its own weight?
A. 10 m
B. 33.3 m
C. 5 m
D. 66.6 m

Answer 1

Correct Answer - b
`(mg)/(A)` = maximum breakin stress `implies ((AI rho)g)/(A) = sigma_("max")`
`:. I_("max") = (sigma_("max"))/(rho g) = (10^(6))/((3 xx 10^(3))(10)) = 33.33m`