JEE Physics · Hard

Elasticity, Thermal Expansion, Calorimetry and Heat Transfer: Thermal Stress MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Thermal StressHardQuestion 30832

Question

Steel rod (Y = 2×10¹¹ Pa, α = 1.2×10⁻⁵ /°C) is clamped at both ends. Temperature rises by 50°C. Thermal stress is:
  1. A
    1.2×10⁸ Pa
    Correct
  2. B
    2.4×10⁸ Pa
  3. C
    6×10⁷ Pa
  4. D
    1.2×10⁷ Pa

Correct answer

1.2×10⁸ Pa

Explanation

Stress = YαΔT = 2×10¹¹ × 1.2×10⁻⁵ × 50 = 1.2×10⁸ Pa.