A pendulum clock keeps correct time at $0\ ^oC$. The thermal coefficient of linear expansion of the  material of the pendulum is $\alpha$. If the temperature rises to $t\ ^oC$, then the clock loses per day by (in second)

  • A

    $\alpha t$

  • B

    $\frac{1}{2} \alpha t$

  • C

    $\alpha t \times 86400$

  • D

    $\frac{1}{2} \alpha t \times 86400$

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