Question
How does frequency relate to the wavelength of a wave?
Frequency and wavelength are not related.
Higher frequency, shorter wavelength.
Higher frequency, longer wavelength.
Frequency and wavelength are not related.
Higher frequency, shorter wavelength.
Higher frequency, longer wavelength.
Answers
GPT-4o mini
The correct relationship between frequency and wavelength of a wave is: **Higher frequency, shorter wavelength**.
This relationship can be summarized by the equation:
\[
v = f \lambda
\]
where:
- \( v \) is the wave speed,
- \( f \) is the frequency,
- \( \lambda \) is the wavelength.
In this equation, if the speed of the wave (v) remains constant, an increase in frequency (f) will result in a decrease in wavelength (λ), and vice versa.
This relationship can be summarized by the equation:
\[
v = f \lambda
\]
where:
- \( v \) is the wave speed,
- \( f \) is the frequency,
- \( \lambda \) is the wavelength.
In this equation, if the speed of the wave (v) remains constant, an increase in frequency (f) will result in a decrease in wavelength (λ), and vice versa.