The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100°C is: (For steel Young's modulus is 2 × 1011 Nm–2 and coefficient of thermal expansion is 1.1 × 10–5 K

Engineering

Physics

Thermal Expansion

Question

The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100°C is:

(For steel Young's modulus is 2 × 10¹¹ Nm^–2 and coefficient of thermal expansion is 1.1 × 10^–5 K^–1)

2.2 × 10⁸ Pa

2.2 × 10⁶ Pa

2.2 × 10⁹ Pa

2.2 × 10⁷ Pa

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= yα $∆$ T

= 2 × 10⁸ × 1.1 × 10^–5 × 100