A pendulum clock of time period 2 sec gives the correct time at 30∘C. The pendulum is made of iron. How many seconds will it lose or gain per day when temperature falls to 0∘C ? αFe=1.2×10−5(∘C)−1
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Solution
New time period will be given by
T′=2π√l(1+αΔT)g=2√1+αΔT
T′=2√1+(1.2×10−5)(−30)≈2(1−18×10−5)s
Thus, time gained in a day is 24×3600×36×10−5s=15.55s.