Explain how you would deduce that only the length of the pendulum decides the time period of the pendulum
in a simple pendulum
the time period of the pendulum is given as
T = 2pi root(l/g)
where T is the time period of the pendulum , l is the length of pendulum and g is the acceleration due to gravity.
Since g is the constant on the surface of earth we have l as the only variable parameter. Thus time period depends on length of the pendulum.