1.

A substance breaks down by a stress of `10^(6) Nm^(-2)`. If the density of the material of the wire is `3 xx 10^(3) kgm^(-3)`. Then the length of the wire of the substance which will break under its own weight when suspended vertically isA. 66.6 mB. 60.0 mC. 33.3 mD. 30.9 m

Answer» Correct Answer - c
If an external force F is applied to the cross-sectional area A of the body, then stress `= (F)/(A) = (mg)/(A)`
Where, Mass m = volume `xx` Density = Alp
`:.` stress `= (Al rho g)/(A) = rho Lg`
`:. L = ("Breaking stress")/(rho g)`
Given, breaking stress `= 10^(6) Nm^(-2)`
`rho = 3 xx 10^(3) kgm^(-3)` and `g = 10 ms^(-2)`
`:. L = (10^(6))/((3 xx 10^(3)) xx 10) = 33.3 m`


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