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NikAS [45]
3 years ago
6

What is the frequency of a wave having a period equal to 18 seconds? a. 6.6 × 10-2 hertz b. 5.5 × 10-2 hertz c. 3.3 × 10-2 hertz

d. 1.8 × 10-2 hertz e. 8.0 × 10-3 hertz
Physics
2 answers:
irakobra [83]3 years ago
6 0
Frequency = 1/period. ... 1 / 18 sec = (1/18) per sec. That's 0.056 per sec or 0.056 Hz. (rounded) (5.6 x 10^-2 Hz)
Karolina [17]3 years ago
6 0

Answer: Option (b) is the correct answer.

Explanation:

The time taken by a wave crest to travel a distance equal to the length of wave is known as wave period.

The relation between wave period and frequency is as follows.

                    T = \frac{1}{f}

where,        T = time period

                   f = frequency

It is given that wave period is 18 seconds. Therefore, calculate the wave period as follows.

                           T = \frac{1}{f}

 or,                      f = \frac{1}{T}

                                     = \frac{1}{18 sec}

                                     = 0.055 per second          (1 cycle per second = 1 Hertz)

or,                           f = 5.5 \times 10^{-2} hertz

Thus, we can conclude that the frequency of the wave is 5.5 \times 10^{-2} hertz.

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