Question

A periodic wave has a period of 0.50 s. What is the wave frequency?

Answer 1

2 Hz

Step-by-step explanation

The period of a periodic wave is the time one complete cycle of the wave lasts. The frequency is the number of cycles per second.

The relationship between the period and the frequency of a wave is that each is the reciprocal of the other. In other words,

`T=(1)/(f)\text{ }and\text{ }f=(1)/(T)`

So, if the period of this wave is T = 0.50 s, then the frequency is,

`f=(1)/(0.50s)=2Hz`

Hence, the frequency of this periodic wave is 2 cycles per second or Hertz.