NEET 2024 Physics Thermal Expansion MCQ Question
A metallic bar of Young’s modulus, 0.5 × 10¹¹ N m⁻² and coefficient of linear thermal expansion 10⁻⁵ °C⁻¹, length 1 m and area of cross-section 10⁻³ m² is heated from 0°C to 100°C without expansion or bending. The compressive force developed in it is:
100 × 10³ N
2 × 10³ N
5 × 10³ N
50 × 10³ N
Correct Answer
Detailed Explanation
The compressive force is given by F = YαΔTL, where Y is Young's modulus, α is the coefficient of linear expansion, ΔT is the temperature change, and L is the original length. Substituting the values, F = 0.5 × 10¹¹ × 10⁻⁵ × 100 × 1 = 5 × 10³ N.
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