BITSAT2009PhysicsMechanical Properties of SolidsActual
A metallic rod breaks when strain produced is 0.2 % . The Young's modulus of the material of the rod is 7 10⁹ ~N / m ² . What should be its area of cross-section to support a load of 10⁴ ~N ?
Options
- A7.1 10⁻⁸ ~m ²
- B7.1 10⁻⁶ ~m ²
- C7.1 10⁻⁴ ~m ²
- D7.1 10⁻² ~m ²
Correct answer
C. 7.1 10⁻⁴ ~m ²
Step-by-step solution
Maximum possible strain =0.2 / 100 array l A = F Y strain = 10⁴ 100 (7 10⁹ ) 0.2 =7.1 10⁻⁴ ~m ² array