In the following list of periodic waves, which one is independent of the others: frequency, wavelength,speed,amplitude?
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speed is a characteristic of the medium, so it is independent of all those.
amplitude is also independent of all of those.
To determine which of the listed properties of periodic waves is independent of the others (frequency, wavelength, speed, amplitude), we need to understand the relationships between these properties.
1. Frequency (f): It refers to the number of complete cycles of a wave that occur in one second. The unit of frequency is hertz (Hz). The higher the frequency, the more cycles occur per second.
2. Wavelength (λ): It represents the distance between two corresponding points on a wave, such as from one crest to another or one trough to another. The SI unit of wavelength is meters (m).
3. Speed (v): It refers to how fast a wave propagates through a medium. The speed of a wave is determined by the medium it travels through and remains constant for a given medium.
4. Amplitude (A): It represents the maximum displacement of particles in a medium from their equilibrium position when a wave passes through.
Now, let's examine the relationships between these properties:
1. Frequency and Wavelength: The frequency and wavelength of a wave are inversely proportional. This means that as the frequency increases, the wavelength decreases, and vice versa. The relationship is described by the formula: v = f * λ, where v is the speed of the wave.
2. Frequency and Speed: The frequency and speed of a wave are directly proportional. This means that as the frequency increases, the speed also increases, and vice versa. The relationship is described by the formula: v = f * λ.
3. Wavelength and Speed: The wavelength and speed of a wave are inversely proportional. This means that as the wavelength increases, the speed decreases, and vice versa. The relationship is described by the formula: v = f * λ.
4. Amplitude and other properties: Unlike frequency, wavelength, and speed, the amplitude of a wave is independent of these properties. The amplitude determines the energy associated with the wave, but it does not affect the frequency, wavelength, or speed.
Based on the relationships between these properties, we can conclude that the amplitude is independent of the others: frequency, wavelength, and speed.