Final answer:
The period and frequency of a simple harmonic oscillator are indeed independent of the amplitude of the oscillatory motion. This characteristic allows for applications such as using a simple harmonic oscillator as a clock.
Step-by-step explanation:
Simple harmonic motion is a special type of periodic motion, where the period T and frequency f of a simple harmonic oscillator are independent of the amplitude. This means that the oscillation will occur at the same rate regardless of the amplitude of the motion. For example, a guitar string will vibrate with the same frequency regardless of whether it is plucked gently or hard.
One important implication of this independence of period and frequency from amplitude is that a simple harmonic oscillator can be used as a clock. Because the period is constant, the motion can be used to measure time accurately.