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The pendulum of a clock is made of brass. If the clock keeps correct time at \( 20^{\circ} \mathrm{C} \). Calculate how many seconds per day will it loose at \( 35^{\circ} \mathrm{C} \) ( \( \alpha \) for brass = \( \left.2 \times 10^{-5 o} C\right) \)

1. 12.96
2. 1.29 s
3. \( 129.6 \mathrm{s} \)
4. 8.64

Correct answer: 1.29 s

Solution

For a pendulum, the period varies as the square root of its length, so heating the brass rod makes the clock run slower. The small increase in period over 24 hours gives a loss of about 1.29 s per day.

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