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A clock which has a brass pendulum beats second correctly when the temperature of
the room is 30°c. It gains the time 15.55 sec per day when the temperature of the
rooms falls to 10°C. Find the linear expansivity of brass.​

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Answer:

- 0.0481666 °C^-1

Explanation:

Linear expansivity of brass, α

α = (2T - 2T0) / T0.dt

T0 = 30°

dt = change in temperature = 30 - 10 = 20°C

T = 15.55 sec

α = (2*15.55 - 2*30) / 30*20

α = (31.1 - 60) / 600

α = - 28.9 / 600

α = - 0.0481666 °C^-1

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