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.
In this scenario, if the wavelength of the wave is increased to 10 meters but the speed remains the same at 600 m/s, the frequency of the wave would decrease.
The relationship between wavelength (λ), frequency (f), and speed (v) of a wave is given by the equation:
v = λ * f
Since the speed of the wave is constant at 600 m/s, and the wavelength is increased to 10 meters, the frequency can be calculated as:
600m/s = 10m * f
f = 600m/s / 10m
f = 60 Hz
Hence, the frequency of the wave would decrease to 60 Hz.
To determine how the frequency of a wave changes when the wavelength is increased while the speed remains constant, we can use the formula:
Speed = Wavelength x Frequency
Given that the speed remains constant at 600 m/s, and the wavelength increases to 10 m, we can rearrange the formula to solve for frequency:
Frequency = Speed / Wavelength
Substituting the given values:
Frequency = 600 m/s / 10 m
Frequency = 60 Hz
Therefore, if the wavelength is increased to 10m but the speed remains the same at 600 m/s, the frequency of the wave would be 60 Hz.