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Question

Breaking stress of a material is 2×108N/m2. What maximum length of the wire of this material can be so that the wire does not break my own weight? [Density of material =5×103kg/m3]

A
1 km
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B
2 km
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C
3 km
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D
4 km
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Solution

The correct option is D 4 km
Let length =L
So, mass of length L=( Density of wire) (volume of wire)
Density of wire =ρ=5×103 Kg/m3
Volume =LA(A= Area of cross section )
Stress=ForceArea
2×108=mgA=ρLAqA
So, L=2×108ρ×g
=2×1085×103×10
L=4000 m
L=4 km
option (d)

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