(i) List the physical quantities on which the time period of a simple pendulum depends when the angular displacement is small.
(ii) Give a reasoned explanation for why the mass of the bob does not affect the time period, whereas the acceleration due to gravity does.
(iii) If a pendulum clock that keeps correct time at sea level (where g=9.80ms−2) is taken to a hill station where g=9.78ms−2, will the clock gain time or lose time in one day? Support your answer with suitable calculation.