How does the time period (T) of a simple pendulum depend on its length (l) ? Draw a graph showing the variation of T² with l. How will you use this graph to determine the value of g (acceleration due to gravity)?

A simple pendulum completes 40 oscillations in one minute.

Find its —

(a) frequency,

(b) time period.

A seconds' pendulum is taken to a place where acceleration due to gravity falls to one forth. How is the time period of the pendulum affected, if at all? Give reason. What will be its new time period?

Find the length of a seconds' pendulum at a place where g = 10 ms^-2 (Take π = 3.14).