A pendulum clock loses 12 s a day if the temperature is 40 o C and gains 4s a day if the temperature is 20 o C. The temperature at which the clock will show correct time, and the co-efficient of linea

Question

A pendulum clock loses 12 s a day if the temperature is 40 o C and gains 4s a day if the temperature is 20 o C. The temperature at which the clock will show correct time, and the co-efficient of linear expansion α of the metal of the pendulum shaft are respectively:

TestHub · Accepted Answer

∆ T T = 1 2 ∆ l l = 1 2 α ∆ θ 12 4 = 40 - θ θ - 20 3 θ - 60 = 40 - θ 4 θ = 100 θ = 25 o C Also, ∆ T = 1 2 α ∆ θ × T 4 = 1 2 α 5 × 86400 8 5 × 86400 = α α = 1.85 × 10 - 5 / o C

Physics - Heat & Thermo Question with Solution | TestHub

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