Final answer:
When the frequency of a periodic wave is doubled, the period of the wave will be halved.
Step-by-step explanation:
When the frequency of a periodic wave is doubled, the period of the wave will be halved.
For example, if the original period of the wave was 1 second, doubling the frequency would mean that the wave completes one full cycle in 0.5 seconds.
This can be explained mathematically using the relationship between frequency (f) and period (T): T = 1/f. So, when frequency is doubled, period is halved.