A metal rod of length L at temperature T₀ is heated to temperature T. If α is the coefficient of linear expansion, the new length is: MCQ with Answer and Explanation

A metal rod of length L at temperature T₀ is heated to temperature T. If α is the coefficient of linear expansion, the new length is:
A. L[1 + α(T - T₀)]
B. L(1 + αT₀)
C. L(1 + αT)
D. Lα(T - T₀)
Answer: Option A
Solution (By JKExamLibrary)
Linear expansion formula: ΔL = L₀αΔT, where ΔT = T - T₀. Thus new length L' = L₀ + ΔL = L₀[1 + α(T - T₀)]. Option A incorrectly uses absolute temperature T instead of temperature change. Option C gives only the change, not total length. Option D uses initial temperature incorrectly. Memory aid: 'Expansion depends on temperature change, not absolute value'. This standard formula application is common in thermal physics questions. Always identify initial length and temperature reference point to avoid sign errors.

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