Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A steel wire having a radius of $2.0 \mathrm{~mm}$, carrying a load of $4 \mathrm{~kg}$, is hanging from a ceiling. Given that $\mathrm{g}=3.1 \mathrm{~mm} / \mathrm{s}^2$, what will be the tensile stress that would be developed in the wire?
PhysicsMechanical Properties of SolidsJEE Main
Options:
  • A $4.8 \times 10^6 \mathrm{~N} / \mathrm{m}^2$
  • B $3.1 \times 10^6 \mathrm{~N} / \mathrm{m}^2$
  • C $6.2 \times 10^6 \mathrm{~N} / \mathrm{m}^2$
  • D $5.2 \times 10^6 \mathrm{~N} / \mathrm{m}^2$
Solution:
1716 Upvotes Verified Answer
The correct answer is: $3.1 \times 10^6 \mathrm{~N} / \mathrm{m}^2$
Tensile stress = Force/Area
Tensile stress $=(4)(3.1 \pi) / \pi\left(2 \times 10^{-3}\right)^2$
Tensile stress $=3.1 \times 10^6 \mathrm{Nm}^{-2}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.