Question

A clock with a metal pendulum beating seconds keeps correct time at 0⁰C. If it loses 12.5 seconds a day at 25⁰C, the coefficient of linear expansion of metal of pendulum is –

• A. $\frac{1}{86400}/ºC$
• B. $\frac{1}{43200}/ºC$
• C. $\frac{1}{14400}/ºC$
• D. $\frac{1}{28800}/ºC$

Answer 1

Answer: (A)

$\frac{1}{86400}/ºC$

Answer 2

Dt = $\frac{1}{2}$at Dq

a = $\frac{2\Delta t}{t\Delta\theta}$ = $\frac{2 \times 12.5}{86400 \times 25}$= $\frac{1}{86400}/ºC$