KCET2022PhysicsMechanical Properties of Solids
A metallic rod breaks when strain produced is 0.2 % . The Young's modulus of the material of the rod 7 10^9 ~N / m ^2 . The area of crosssection to support a load of 10^4 ~N is
Options
- A7.1 10⁻⁶ ~m ^2
- B7.1 10⁻⁴ ~m ^2
- C7.1 10⁻² ~m ^2
- D7.1 10⁻⁸ ~m ^2
Correct answer
B. 7.1 10⁻⁴ ~m ^2
Step-by-step solution
Given, Youngs' modulus, Y=7 10^9 ~N / m ^2 Load, F=10^4 ~N We know that. aligned Y & = F l A l A & = F l Y l = F Y 1 ( l l ) & = 10^4 7 10^9 1 0.2 =7.1 10⁻⁴ ~m ^2 aligned