NEET Physics Thermal Expansion MCQ Question
A steel rail of length 5 m and area of cross section 40 cm² is prevented from expanding along its length while the temperature rises by 10°C. If coefficient of linear expansion and Young's modulus of steel are 1.2 × 10⁻⁵ K⁻¹ and 2 × 10¹¹ Nm⁻² respectively, the force developed in the rail is approximately:
2 × 10⁹ N
2 × 10⁷ N
3 × 10⁵ N
1 × 10⁵ N
Correct Answer
Detailed Explanation
The force developed due to thermal expansion is given by F = YαΔT A, where Y is Young's modulus, α is the coefficient of linear expansion, ΔT is the temperature change, and A is the cross-sectional area. Calculating gives F = 2 × 10⁷ N.
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