Question

A note on a piano vibrates 282 times per second. What is the period of the wave?

Answer 1

The period of the wave is 3.54 ms.

Step-by-step 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,

`Frequency=1/Time period`

As the frequency is given as 282
`s^(-1)`, then the time period will be

`Time period = (1)/(frequency)=(1)/(282)=0.00355 s`

So, the period of the wave is 3.54 ms.