The period of a simple pendulum at a given place is
T = \(2π\sqrt{L/g}\)
where L is the length of the simple pendulum and g is the acceleration due to gravity at that place. From the above expression, the laws of simple pendulum are as follows
Law of length :The period of a simple pendulum at a given place (g constant) is directly proportional to the square root of its length. T ∝ \(\sqrt{L}\)
Law of mass :The period of a simple pendulum does not depend on the mass or material of the bob of the pendulum.
Law of acceleration due to gravity : The period of a simple pendulum of a given length (L constant) is inversely proportional to the square root of the acceleration due to gravity. T ∝ \(\sqrt{\frac{1}{g}}\)
Law of isochronism :The period of a simple pendulum does not depend on the amplitude of oscillations, provided that the amplitude is small.
