Question

A clock which keeps correct time at 25ŗC has a pendulum made of a metal. The temperature falls to 0ŗC. If the coefficient of linear expansion of the metal is 1.9 × 10^–5 per ŗC, then number of second the clock gains per day is –

• A. 10.25 s
• B. 20.52 s
• C. 30.75 s
• D. 41 s

Answer 1

Answer: (B)

20.52 s

Answer 2

$\frac{\Delta T}{T} = \frac{1}{2}\alpha(\theta_{2} - \theta_{1})$

DT = $\frac{1}{2}$ × 1.9 ×10^–5(25 – 0) × 24 × 3600