How is the relationship between period and frequency expressed mathematically?

• A. t = frequency
• B. t = 1/frequency
• C. t = frequency²
• D. t = frequency/2

Answer: (B)

The relationship between period and frequency is established through the formula that states the period (t) is the inverse of frequency (f). Mathematically, this relationship can be expressed as t = 1/f, where the period is measured in seconds and frequency is measured in hertz (Hz).

This formula indicates that as frequency increases, the period decreases, meaning that more cycles occur in a given time frame. Therefore, if you know the frequency of a sound wave or any periodic signal, you can easily calculate the period by taking the reciprocal of the frequency. This key understanding is fundamental in the study of acoustics and sound wave behavior, which is essential for speech science.

The correct expression, t = 1/frequency, directly conveys the inverse relationship between the two concepts, highlighting how they are interconnected in wave dynamics.