The period t of a simple pendulum depends on the length l of the pendulum and the acceleration of gravity g (dimensions l/p). (a) find a simple combination of l and g that has the dimensions of time. (b) check the dependence of the period t on the length l by measuring the period (time for a complete swing back and forth) of a pendulum for two different values of l. (c) the correct formula relating t to l and g involves a constant that is a multiple of 1 t, and cannot be obtained by the dimensional analysis of part (a). it can be found by experiment as in part (b) if g is known. using the value g