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 ~m ^2 is heated from 0^ C to 100^ C without expansion or bending. The compressive force

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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 ~m ^2 is heated from 0^ C to 100^ C without expansion or bending. The compressive force developed in it is :

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Correct answer: A. 50 10^3 ~N

aligned & Thermal strain = Longitudinal strain = T & Longitudinal strain, =10⁻⁵ 10^2=10⁻³ & Compressive stress = Young's Modulus & =10⁻³ 0.5 10¹¹ & =0.5 10^8 & Compressive force =0.5 10^8 10⁻³=0.5 10^5 & =5 10^4 10 10 & =50 10^3 ~N aligned

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 ~m ^2 is heated from 0^ C to 100^ C without expansion or bending. The compressive force developed in it is :

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