A stress of 106 Nm-2 is required for breaking a material. If the density of the material is 3 x 103kgm-3, then what should be the length of the wire made of this material, so that it breaks under its own weight?
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a
10 m
b
5 m
c
33.3 m
d
66.6m
answer is B.
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Detailed Solution
Maximum breaking stress =FA=mgA=(Alρ)gA=Smax∴ lmax=Smaxρg=1063×103(10)=33.33m
A stress of 106 Nm-2 is required for breaking a material. If the density of the material is 3 x 103kgm-3, then what should be the length of the wire made of this material, so that it breaks under its own weight?