Scelta multipla
In the context of the velocity of transverse waves, what are the low points of a transverse wave called?
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18. Waves & Sound
Velocity of Transverse Waves
Scelta multipla
Given the equation , where is the speed of a wave, is the wavelength, and is the frequency, which of the following statements is correct about how the speed of a transverse wave depends on its wavelength?
A
The speed of a transverse wave does not depend on its wavelength because for a given medium, is constant and any change in is offset by an inverse change in .
B
The speed of a transverse wave is always equal to the wavelength .
C
The speed of a transverse wave increases as the wavelength increases, regardless of the frequency.
D
The speed of a transverse wave decreases as the wavelength increases, regardless of the frequency.
Guida verificata passo dopo passo1
Recall the fundamental wave equation: \(v = \lambda f\), where \(v\) is the wave speed, \(\lambda\) is the wavelength, and \(f\) is the frequency.
Understand that for a wave traveling in a given medium, the speed \(v\) is determined by the properties of that medium (such as tension and mass density for a string) and remains constant.
Since \(v\) is constant in a given medium, any change in wavelength \(\lambda\) must be accompanied by an inverse change in frequency \(f\) to keep the product \(\lambda f\) equal to \(v\).
This means if the wavelength increases, the frequency decreases proportionally, and if the wavelength decreases, the frequency increases proportionally, so the speed does not change.
Therefore, the speed of a transverse wave does not depend on its wavelength alone; it depends on the medium, and wavelength and frequency adjust accordingly to maintain constant speed.
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