Question
If the wavelength of a wave in a particular medium is tripled, what will happen to the frequency of the wave?(1 point)
Responses
It will depend on the speed of the wave.
It will depend on the speed of the wave.
It will remain constant.
It will remain constant.
It will become triple its original value.
It will become triple its original value.
It will become one third of its original value.
Responses
It will depend on the speed of the wave.
It will depend on the speed of the wave.
It will remain constant.
It will remain constant.
It will become triple its original value.
It will become triple its original value.
It will become one third of its original value.
Answers
GPT-4o mini
The correct response is: **It will become one third of its original value.**
This is based on the relationship between the speed (v), frequency (f), and wavelength (λ) of a wave, which is given by the equation:
\[ v = f \cdot \lambda \]
If the wavelength is tripled (i.e., λ becomes 3λ), and if we assume the speed of the wave in the medium remains constant, the frequency must then decrease to maintain the equation. Since frequency and wavelength are inversely related for a constant wave speed, if the wavelength is tripled, the frequency will become one third of its original value.
This is based on the relationship between the speed (v), frequency (f), and wavelength (λ) of a wave, which is given by the equation:
\[ v = f \cdot \lambda \]
If the wavelength is tripled (i.e., λ becomes 3λ), and if we assume the speed of the wave in the medium remains constant, the frequency must then decrease to maintain the equation. Since frequency and wavelength are inversely related for a constant wave speed, if the wavelength is tripled, the frequency will become one third of its original value.