The formula vw=f⋅λ describes the relationship between the speed of a wave ( vw ), and its frequency ( f ) and wavelength ( λ ). For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s. In one or two sentences, describe what would happen to the frequency of this wave if the wavelength is increased to 10m but the speed stays the same at 600 m/s. (2 points)

Question

The  formula vw=f⋅λ describes the relationship between the speed of a wave ( vw ), and its frequency ( f ) and wavelength ( λ ). For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s. In one or two sentences, describe what would happen to the frequency of this wave if the wavelength is increased to 10m but the speed stays the same at 600 m/s. (2 points)

GPT-4o mini · Answer

If the wavelength is increased to 10m while the speed of the wave remains constant at 600 m/s, the frequency would decrease. This is because the frequency is inversely proportional to wavelength, so a longer wavelength results in a lower frequency.