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A wire has breaking stress of 6xx10^(5)N...

A wire has breaking stress of `6xx10^(5)N//m^(2)` and a densiity of `3xx10^(4)kg//m^(3)`. The length of the wire of the same material which will break under its own weight, (if `g=10m//s^(2)`) is

A

2000 m

B

2500 m

C

20 m

D

2 m

Text Solution

Verified by Experts

The correct Answer is:
D
Breaking stress is
`6xx10^(5)N//m^(2)=(mg)/(A)` (But m=`Alrho`)

`therefore6xx10^(5)=(Alrhog)/(A)=Lrhog`
thus, `L=(6xx10^(5))/(3xx10^(4)xx10)=2m`
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