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Question: Answered & Verified by Expert
A substance breaks down by a stress of $10^6 \mathrm{~N} / \mathrm{m}^2$. If the density of the material of the wire is $3 \times 10^3$ $\mathrm{kg} / \mathrm{m}^3$, then the length of the wire of the substance which will break under its own weight when suspended vertically, is
PhysicsMechanical Properties of SolidsJEE Main
Options:
  • A $66.6 \mathrm{~m}$
  • B $60.0 \mathrm{~m}$
  • C $33.3 \mathrm{~m}$
  • D $30.0 \mathrm{~m}$
Solution:
2471 Upvotes Verified Answer
The correct answer is: $33.3 \mathrm{~m}$
$L=\frac{p}{d g}=\frac{10^6}{3 \times 10^3 \times 10}=\frac{100}{3}=33.3 \mathrm{~m}$

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