A clock with a metal pendulum beating seconds keeps correct time at \( 0^{\circ} \mathrm{C} \). ...

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A clock with a metal pendulum beating seconds keeps correct time at \( 0^{\circ} \mathrm{C} \). If it loses \( 12.5 \mathrm{~s} \) a day at \( 25^{\circ} \mathrm{C} \), the coefficient of linear expansion of metal pendulum is
[AIIMS 2010]
(a) \( \frac{1}{86400} /{ }^{\circ} \mathrm{C} \)
(b) \( \frac{1}{43200} /{ }^{\circ} \mathrm{C} \)
(c) \( \frac{1}{14400} /{ }^{\circ} \mathrm{C} \)
(d) \( \frac{1}{28800} /{ }^{\circ} \mathrm{C} \)
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