Multiple choice

A pendulum clock keeps correct time at $0^0C$. If the coefficient of linear expansion is $\alpha$, then what will be the loss is time per day, when the temperature rises by $t^0C$ ?

  1. $\cfrac {\alpha t}2$ day
  2. $\cfrac {\alpha t}2$ second
  3. $\left ( 1+ \cfrac {\alpha t}2 \right ) $ day
  4. $\left ( 1+ \cfrac {\alpha t}2 \right ) $ second
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B Correct answer
AI explanation

The loss of time per day by a pendulum clock due to thermal expansion is calculated using the formula delta T = (1/2) * alpha * t, where alpha is the coefficient of linear expansion and t is the temperature change. The unit for this time loss is determined by the unit of the period being measured. Therefore, the loss in time per day is (alpha * t / 2) second.

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