If there are 20 waves in a 5-second time frame, what is the frequency?

If there are 20 waves in a 5-second time frame,  the frequency of the wave is 4 Hz.

A wave is a disturbance that travels through space, carrying energy without transporting matter. Waves can take many forms, such as water waves, sound waves, light waves, and radio waves. In general, waves are characterized by their frequency, wavelength, amplitude, and velocity.

Wavelength is one of the fundamental characteristics of a wave. It is defined as the distance between two consecutive points in a wave that are in phase, that is, they are at the same point in their cycle. For example, in a simple sine wave, the wavelength is the distance between two consecutive peaks or two consecutive troughs.

The symbol used to represent wavelength is the Greek letter lambda (λ). Wavelength is typically measured in meters (m) or some other unit of length. In general, longer wavelengths are associated with lower frequencies and lower energies, while shorter wavelengths are associated with higher frequencies and higher energies.

The relationship between wavelength, frequency, and velocity is given by the formula:

velocity = frequency x wavelength

This formula shows that as the frequency of a wave increases, its wavelength decreases, and vice versa, assuming the velocity remains constant. Similarly, as the wavelength of a wave increases, its frequency decreases, and vice versa, assuming the velocity remains constant.

So, a wave is a disturbance that travels through space carrying energy without transporting matter, while wavelength is the distance between two consecutive points in a wave that are in phase.

Here in the question,

The frequency of a wave is defined as the number of cycles or oscillations that occur in one second. The unit of frequency is hertz (Hz). To calculate the frequency of a wave, we can use the following formula:

Frequency = Number of cycles / Time

In this case, we are given that there are 20 waves in a 5-second time frame. Therefore, the number of cycles is 20, and the time is 5 seconds. Substituting these values into the formula, we get:

Frequency = 20 / 5 = 4 Hz

Therefore, the frequency of the wave is 4 Hz. This means that the wave completes 4 cycles or oscillations in one second.

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