JEE Main202131 Aug 2021Evening ShiftPhysicsMechanical Properties of SolidsActual
Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 × 10 3 kg . The inner and outer radii of each column are 50 cm and 100 cm respectively. Assuming uniform local distribution, calculate the compression strain of each column. [use Y = 2 . 0 × 10 11 Pa , g = 9 . 8 m s - 2 ]
Options
- A1 . 87 × 10 - 3
- B2 . 60 × 10 - 7
- C3 . 60 × 10 - 8
- D7 . 07 × 10 - 4
Correct answer
B. 2 . 60 × 10 - 7
Step-by-step solution
Δ L L = m g 4 A Y = 50 × 10 3 × 9 . 8 4 π 100 2 - 50 2 × 10 - 4 × 2 × 10 11 = 5 × 10 5 4 × π × 150 × 50 × 10 - 4 × 2 × 10 11 ΔL L = 1 12 π × 10 - 5 = 2 . 60 × 10 - 7