Which of the following statements is NOT true about the period of a simple pendulum?

The correct statement to support the understanding of the period of a simple pendulum is that the period is primarily affected by the length of the pendulum and is independent of its mass. According to the formula for the period of a simple pendulum, the period is a function of the length (L) and the acceleration due to gravity (g), specifically represented as ( T = 2\pi\sqrt{\frac{L}{g}} ). This means that as the length of the pendulum increases, the period does indeed increase.

In contrast, the mass of the pendulum does not influence the period. In an ideal scenario, where air resistance and friction are negligible, all pendulums of the same length—and regardless of their mass—will have the same period. This empirical observation can be counterintuitive, as one might assume that a heavier pendulum would swing slower, but this is not the case in the idealized conditions of a simple pendulum.

Therefore, the assertion that the mass of a pendulum affects its period is inaccurate, making it the statement that is NOT true about the period of a simple pendulum.