A grandfather clock is controlled by a swinging brass pendulum thatis 1.1 m long

Question

A grandfather clock is controlled by a swinging brass pendulum thatis 1.1 m long at a temperatureof 25°C. (a) What is the change in the length of the pendulum rod when thetemperature drops to 0.0°C?
mm

(b) If a pendulum's period is given by T =2(L/g),where L is its length, does the change in lengthof the rod cause the clock to run fast or slow?
neither
fast
slow (a) What is the change in the length of the pendulum rod when thetemperature drops to 0.0°C?
mm

(b) If a pendulum's period is given by T =2(L/g),where L is its length, does the change in lengthof the rod cause the clock to run fast or slow?
neither
fast
slow neither
fast
slow neither
fast
slow

Explanation / Answer

original length L = 1.1 m Initial temperature t = 25 o C Final temperature t ' = 0 o C we know coefficient of linear expansion = d L / (L dt ) from this change in length d L = L dt where =    72 * 10 ^-6   C ^ -1 substitue values we get answer length is decreases.So, period of the pendulum isdecreases i.e., it moves fast

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