Question

A pendulum clock is 5 seconds fast at a temperature of 15°c and 10 seconds slow at a temperature of 30°c. the temperature at which it gives correct time is

Answer 1

Answer:

t=20°

Step-by-step explanation:

let us consider t be correct time.

the change in period of pendulum when temperature is changed by Ф is:

ΔT=1/2 $\alpha$ФT°

at 15° gain is 5

5=1/2 $\alpha$(t -15)T°

at 30° loss is 10

-10=1/2 $\alpha$(t -30)T°

     3t=60

       t=20°