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A stress of 6 X 106 Nm-2 required for breaking a material. The density ρ of the material is 3 X 103 kg m-3. If the wire is to break under its own weight, the length of the wire made of that material should be (Take, g = 10 ms-2)

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a

20 m

b

200 m

c

100 m

d

2000 m

answer is B.

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Detailed Solution

The minimum stress after which the wire breaks, i.e. Stress = Force Area =mgA=VρgA=LAρgA=LρgGiven, stress =6×106Nm−2ρ=3×103kgm−3 and g=10ms−2⇒ L= Stress ρg=6×1063×103×10=2×102=200m

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A stress of 6 X 106 Nm-2 required for breaking a material. The density ρ of the material is 3 X 103 kg m-3. If the wire is to break under its own weight, the length of the wire made of that material should be (Take, g = 10 ms-2)