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A stress of 10^(6) N//m^(2) is required ...

A stress of `10^(6) N//m^(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 minimum length of the wire made of the same material so that it breaks by its own weight `(g = 10m//s^(2))`

A

66.6 m

B

60.0 m

C

33.3 m

D

30.0 m

Text Solution

Verified by Experts

The correct Answer is:
C
Breakign stress `=(mg)/("Area") =(Al rho g)/(A)=rho l g`
`therefore l=("Breaking stress")/(rho g)`
`=(10^(6))/(3xx10^(3)xx10)=33.33m`
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