A steel ruler is marked correctly at 20 °C. A brass rod is exactly 50.000 cm long at 20 °C. Steel has α = 1.2 × 10⁻⁵ K⁻¹ and brass α = 1.9 × 10⁻⁵ K⁻¹. The rod is measured with the ruler, both always at the same temperature. Which of the following statements are correct? (Give lengths to the nearest 0.001 cm.)

PhysicsAdvancedHigh School (11–12)Heat & Thermodynamics › Temperature and Thermal Expansion JEE Advanced

A steel ruler is marked correctly at $20\ ^\circ\text{C}$ . A brass rod is exactly $50.000\ \text{cm}$ long at $20\ ^\circ\text{C}$ . Steel has $\alpha = 1.2 \times 10^{-5}\ \text{K}^{-1}$ and brass $\alpha = 1.9 \times 10^{-5}\ \text{K}^{-1}$ . The rod is measured with the ruler, both always at the same temperature. Which of the following statements are correct? (Give lengths to the nearest $0.001\ \text{cm}$ .)

One or more options are correct. Tick all the correct ones: a wrong option costs marks, and a part-right answer earns part of the marks.

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