A clock correct at 25°C has a metal pendulum with α = 1.9 × 1 0 − 5 ∘ C − 1 . At 0°C its gain per day is:

Cooling shortens the pendulum, so the clock runs fast. Gain ≃ 2 1 ( 1.9 × 1 0 − 5 ) ( 25 ) ( 86400 ) = 20.52 s .

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PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

PhysicsMediumsingle choice

A clock correct at 25°C has a metal pendulum with $α = 1.9 \times 1 0^{- 5}^{\circ} C^{- 1}$ . At 0°C its gain per day is:

Answer:

Solution:

Cooling shortens the pendulum, so the clock runs fast. Gain $≃ \frac{1}{2} (1.9 \times 1 0^{- 5}) (25) (86400) = 20.52 s$ .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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