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What is the frequency of a wave having a period equal to 18 seconds?

A. [tex]\(6.6 \times 10^{-2}\)[/tex] hertz
B. [tex]\(5.5 \times 10^{-2}\)[/tex] hertz
C. [tex]\(3.3 \times 10^{-2}\)[/tex] hertz
D. [tex]\(18 \times 10^{-2}\)[/tex] hertz
E. [tex]\(8.0 \times 10^3\)[/tex] hertz

Sagot :

GinnyAnswer
To determine the frequency of a wave that has a period of 18 seconds, we use the relationship between period (T) and frequency (f):

[tex]\[ f = \frac{1}{T} \][/tex]

Here, the period [tex]\( T \)[/tex] is given as 18 seconds. Substitute [tex]\( T \)[/tex] with 18 seconds into the formula:

[tex]\[ f = \frac{1}{18} \][/tex]

Performing this division, we get:

[tex]\[ f = 0.05555555555555555 \][/tex]

Now, we compare this result with the given choices. The correct match is:

B. [tex]\( 5.5 \times 10^{-2} \)[/tex] hertz
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