Question
A pendulum clock loses 12 s a day if the temperature is 408C and gains 4 s a day if the temperature is 208C. 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:
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25 C; α=1.85×10−5/ °C
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60 °C; α=1.85×10−4/ °C
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30°C; α=1.85×10−3/°C
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55°C; α=1.85×10−2/°8C
Solution
A.
25 C; α=1.85×10−5/ °C
Time period of pendulum,
Thus, the coefficient of linear expansion in pendulum clock = 1.85 x 10-5/C
