Scelta multipla
For an echo to occur, what must happen to a after it is produced?
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18. Waves & Sound
Wave Functions
Scelta multipla
If you increase the frequency of a wave while keeping the wave speed constant, what happens to the number of waves (wavelengths ) present in a given distance?
A
The number of waves first increases, then decreases.
B
The number of waves increases.
C
The number of waves stays the same.
D
The number of waves decreases.
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Recall the fundamental wave relationship that connects wave speed \(v\), frequency \(f\), and wavelength \(\lambda\):
\[v = f \times \lambda\]
Since the wave speed \(v\) is constant, if the frequency \(f\) increases, the wavelength \(\lambda\) must adjust to keep the product \(f \times \lambda\) equal to \(v\).
Rearrange the equation to express wavelength in terms of speed and frequency:
\[\lambda = \frac{v}{f}\]
As frequency \(f\) increases, the wavelength \(\lambda\) decreases because \(\lambda\) is inversely proportional to \(f\) when \(v\) is constant.
The number of waves (or wavelengths) in a given distance is the total distance divided by the wavelength. Since the wavelength decreases, more wavelengths fit into the same distance, so the number of waves increases.
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