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Find the greatest length of the wire mad...

Find the greatest length of the wire made of material of breaking stress `8 xx 10^8Nm^(-2)` and density `8xx10^3 kgm^(-3)` that can be suspended from a rigid support without breaking.

Text Solution

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Greatest length of the wire without breaking.
` L = ("Braking Stress ")/(rho g)`
Here, breaking stress `= 8 xx 10^(8)Nm^(-2)`,
`rho = 8 xx 10^(3)kgm^(-3), g= 10ms^(-2).`
`L= (8 xx 10^(8))/(8 xx 10^(3) xx 10)=1 xx 10^(4)m=10km`
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