A clock pendulum made of invar has a period of 0.5 sec at 20°C. If the clock is used in a climate where average temperature is 30°C, approximately. How much fast or slow will the clock run in 10⁶ sec. (αinvar = 1 ×10⁻⁶/°C) Which of the following gives the correct final result?
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Question

A clock pendulum made of invar has a period of 0.5 sec at 20°C. If the clock is used in a climate where average temperature is 30°C, approximately. How much fast or slow will the clock run in 10⁶ sec. (αinvar = 1 ×10⁻⁶/°C) Which of the following gives the correct final result?

Options

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 5 s slow. Therefore the correct answer is A.