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Question

A wire breaks when subjected to a stress S. If ρ is the density of the material of the wire and g, the acceleration due to gravity, then the length of the wire so that it breaks by its own weight is :

A
ρgs
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B
ρ/gs
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C
gs/ρ
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D
s/ρg
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Solution

The correct option is C s/ρg
Let A be the cross section area of the wire.
Weight of the wire W=Mg=ρ(Al)g
Breaking stress S=WA
S=ρAlgA l=Sρg

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