AP EAMCET2007PhysicsMechanical Properties of Solids
When a wire of length 10 ~m is subjected to a force of 100 ~N along its length, the lateral strain produced is 0.01 10⁻³ ~m . The Poisson's ratio was found to be 0.4 . If the area of cross-section of wire is 0.025 ~m ^2 , its Young's modulus is
Options
- A1.6 10^8 ~N / m ^2
- B2.5 10¹⁰ ~N / m ^2
- C1.25 10¹¹ ~N / m ^2
- D16 10^9 ~N / m ^2
Correct answer
A. 1.6 10^8 ~N / m ^2
Step-by-step solution
Poisson's ratio = lateral strain longitudinal strain aligned ie, & 0.4 & = 0.01 10⁻³ L / L or & L L & = 0.4 0.01 10⁻³ =4 10^4 aligned Young's modulus aligned Y & = F L A l & = 100 0.025 4 10^4 & =1.6 10^8 ~N / m ^2 aligned