A rod of length 2m at 0°C and having expansion coefficient α = (3x + 2) ×10⁻⁶ °C⁻¹ where x is the distance (in cm) from one end of rod. The length of rod at 20°C is :
Options

Question

A rod of length 2m at 0°C and having expansion coefficient α = (3x + 2) ×10⁻⁶ °C⁻¹ where x is the distance (in cm) from one end of rod. The length of rod at 20°C is :

G1 Physics · Accepted Answer

Use ΔL=αLΔT, ΔA≈2αAΔT and ΔV≈3αVΔT (or the given cubical coefficient γ). For constrained bodies include the elastic stress needed to cancel free expansion. Evaluating the given data/statements gives C: 2.0120 m. Therefore the correct answer is C.