The period of the wave is 3.54 ms.
Explanation:
In wave motion, period is defined as the time taken to complete a single cycle. In other words, period can also be termed as inversely proportional to frequency.
As frequency states the number of times a cycle is getting repeated in a given time interval. So from this we can find it for a single cycle. Thus,
[tex]Frequency=1/Time period[/tex]
As the frequency is given as 282 [tex]s^{-1}[/tex], then the time period will be
[tex]Time period = \frac{1}{frequency}=\frac{1}{282}=0.00355 s[/tex]
So, the period of the wave is 3.54 ms.