A clock with a metal pendulum beating seconds keeps correct time at 0oC. If it loses 12.5 s a day at 25oC, the coefficient of linear expansion of metal of pendulum is
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a
186400/∘C
b
143200/∘C
c
114400/∘C
d
128800/∘C
answer is A.
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Detailed Solution
Loss of time due to heating a pendulum is given asΔT=12αΔθT⇒ 12.5=12×α×(25−0)∘C×86400⇒ α=186400/∘C