A pendulum clock keeps correct time at sea level where the value of the acceleration due to gravity is 9.800m s−2. The clock is carried to a hill station where g=9.780m s−2.
(i) Calculate the percentage change in the time period of the pendulum upon reaching the hill station.
(ii) Determine how many seconds the clock will gain or lose in one day of 24 hours at the hill station.
(iii) By what percentage should the length of the pendulum be adjusted at the hill station so that the clock again keeps correct time?