Question
When the frequency of a wave increases, what happens to the wavelength?
The wavelength decreases.
More specific information is needed to form a conclusion about the wavelength.
The wavelength increases
The wavelength is not directly affected by the frequency of a wave.
The wavelength decreases.
More specific information is needed to form a conclusion about the wavelength.
The wavelength increases
The wavelength is not directly affected by the frequency of a wave.
Answers
GPT-4o mini
The correct answer is: **The wavelength decreases.**
This relationship is described by the wave equation, which states that the speed of a wave (v) is equal to its frequency (f) multiplied by its wavelength (λ):
\[ v = f \cdot λ \]
If the speed of the wave remains constant and the frequency increases, the wavelength must decrease to maintain this relationship. Conversely, if the frequency decreases, the wavelength will increase.
This relationship is described by the wave equation, which states that the speed of a wave (v) is equal to its frequency (f) multiplied by its wavelength (λ):
\[ v = f \cdot λ \]
If the speed of the wave remains constant and the frequency increases, the wavelength must decrease to maintain this relationship. Conversely, if the frequency decreases, the wavelength will increase.