Question

Compare a wave that has a period of 0.03 second with a second wave that has a period of 1⁄4 second. Which wave has the greater frequency? Be sure to show the steps for your work.

Answer 1

The first wave has a frequency of 33.3 Hz:

f1 = 1⁄T1

f1 = 1⁄0.03

f1 = 33. 3 Hz

The second wave has a frequency of 4 Hz. f2 = 1⁄T2

f2 = 1⁄1⁄4

f2 = 1 ÷ 1⁄4

f2 = 1 × 4⁄1

f2 = 1⁄1 × 4⁄1

f2 = 4 Hz

Therefore, the first wave has a higher frequency.

Step-by-step explanation:

Answer 2

The wave with 0.03 time period have the greater frequency

Step-by-step explanation:

Given in the question,

Period T
`_(1)` of one wave = 0.03 seconds

Period T
`_(2)` of another wave = 1/4 seconds

We know that

T = 1 / f

So,

f
`_(1)` = 33.3 hz

f
`_(2)` = 4 hz

The wave with 0.03 time period have the greater frequency.