As the period of a wave increases, the frequency increases

true or false?

False. Frequency and period are inversely proportional. In most situations, the product is constant.

False.

The relationship between the period and frequency of a wave is actually inverse. The period of a wave refers to the time it takes for one complete cycle of the wave to pass a fixed point, and it is measured in seconds. The frequency, on the other hand, represents the number of complete cycles of the wave that occur in one second, and it is measured in Hertz (Hz).

The formula that relates the period (T) and frequency (f) of a wave is as follows:

f = 1 / T

So, as the period of a wave increases, the frequency actually decreases, and vice versa. This means that if you double the period, the frequency will be halved, and if you halve the period, the frequency will double.