To determine the frequency when the wavelength is given, we can use the equation:
velocity = frequency × wavelength
In this case, the velocity is the speed of light, denoted as "c." Since we know the speed of light is approximately 299,792,458 meters per second (m/s), we can substitute this value into the equation:
c = frequency × wavelength
Now, let's assume the wavelength is 3 meters (m):
299,792,458 m/s = frequency × 3 m
To solve for frequency, we can rearrange the equation:
frequency = velocity / wavelength
Plugging in the values:
frequency = 299,792,458 m/s / 3 m
Calculating the result:
frequency ≈ 99,930,819.33 Hz
Therefore, when the wavelength is 3 meters, the frequency is approximately 99,930,819.33 hertz (Hz).